FORM 10-Q

                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549


           [X] Quarterly Report Pursuant to Section 13 or 15(d) of the
                         Securities Exchange Act of 1934
                  For the quarterly period ended June 30, 1998

                                       OR

              [ ] Transition Report Pursuant to Section 13 or 15(d)
                     of the Securities Exchange Act of 1934
                  For the transition period from _____ to _____



                          Commission File Number 1-3492


                               HALLIBURTON COMPANY

                            (a Delaware Corporation)
                                   75-2677995

                               3600 Lincoln Plaza
                                  500 N. Akard
                               Dallas, Texas 75201

                   Telephone Number - Area Code (214) 978-2600

Indicate  by check  mark  whether  the  registrant  (1) has  filed  all  reports
required to be filed by Section 13 or 15(d) of the  Securities  Exchange  Act of
1934  during  the  preceding  12 months  (or for such  shorter  period  that the
registrant was required to file such reports),  and (2) has been subject to such
filing requirements for the past 90 days.
  Yes   X    No ___

Indicate the number of shares  outstanding  of each of the  issuer's  classes of
common stock, as of the latest practicable date.

Common stock, par value $2.50 per share:
Outstanding at July 31, 1998 - 263,194,766







                                                           INDEX

                                                                                                      Page No.
                                                                                                
           PART I.     FINANCIAL INFORMATION

           Item 1.     Financial Statements

                       Condensed Consolidated Balance Sheets at June 30, 1998 and
                         December 31, 1997                                                                   2

                       Condensed Consolidated Statements of Income for the three and six
                         months ended June 30, 1998 and 1997                                                 3

                       Condensed Consolidated Statements of Cash Flows for the six months
                         ended June 30, 1998 and 1997                                                        4

                       Notes to Condensed Consolidated Financial Statements                                5-8

           Item 2.     Management's Discussion and Analysis of
                          Financial Condition and Results of Operations                                   9-15

          PART II.     OTHER INFORMATION

           Item 4.     Submission of Matters to a Vote of Security Holders                                  16

           Item 6.     Listing of Exhibits and Reports on Form 8-K                                       17-18

        Signatures                                                                                          19

         Exhibits:     Restated  Certificate  of  Incorporation  of  Halliburton
                         Company  filed with  the Secretary of State of Delaware
                         on July 23, 1998.

                       Halliburton   Elective  Deferral  Plan,  as  amended  and
                         restated effective January 1, 1998.

                       Halliburton    Company    Senior   Executives'   Deferred
                         Compensation  Plan,  as amended  and restated effective
                         January 1, 1998.

                       Financial data schedule for the six months ended June 30, 1998
                          (included only in the copy of this report filed electronically
                          with the Commission).

                                       1








PART I.  FINANCIAL INFORMATION
Item 1.  Financial Statements.



                                                    HALLIBURTON COMPANY
                                           CONDENSED CONSOLIDATED BALANCE SHEETS
                                                        (UNAUDITED)
                                   (In millions of dollars and shares except per share)

                                                                                         June 30            December 31
                                                                                          1998                  1997
                                                                                    ---------------      ----------------
                                        ASSETS
                                                                                                   
Current assets:
Cash and equivalents                                                                $        145.4       $        221.3
Receivables:
  Notes and accounts receivable                                                            2,039.4              1,815.8
  Unbilled work on uncompleted contracts                                                     503.5                390.0
                                                                                    ---------------      ----------------
    Total receivables                                                                      2,542.9              2,205.8
Inventories                                                                                  394.1                326.9
Deferred income taxes, current                                                               129.1                106.6
Other current assets                                                                         121.8                111.0
                                                                                    ---------------      ----------------
   Total current assets                                                                    3,333.3              2,971.6
Property, plant and equipment,
   less accumulated depreciation of $2,372.5 and $2,325.3                                  1,814.2              1,662.7
Equity in and advances to related companies                                                  415.9                338.7
Excess of cost over net assets acquired                                                      312.2                323.1
Deferred income taxes, noncurrent                                                             77.0                 91.3
Other assets                                                                                 233.4                215.6
                                                                                    ---------------      ----------------
   Total assets                                                                     $      6,186.0       $      5,603.0
                                                                                    ===============      ================

                        LIABILITIES AND SHAREHOLDERS' EQUITY
Current liabilities:
Short-term notes payable                                                            $        319.1       $          2.7
Current maturities of long-term debt                                                           8.1                  7.1
Accounts payable                                                                             694.8                586.5
Accrued employee compensation and benefits                                                   212.3                262.3
Advance billings on uncompleted contracts                                                    298.1                303.7
Income taxes payable                                                                         198.2                213.1
Deferred revenues                                                                             44.9                 38.4
Other current liabilities                                                                    369.8                359.1
                                                                                    ---------------      ----------------
   Total current liabilities                                                               2,145.3              1,772.9
Long-term debt                                                                               525.4                538.9
Reserve for employee compensation and benefits                                               329.9                323.6
Other liabilities                                                                            370.0                363.2
Minority interest in consolidated subsidiaries                                                19.3                 19.7
                                                                                    ---------------      ----------------
  Total liabilities and minority interest                                                  3,389.9              3,018.3
                                                                                    ---------------      ----------------
Shareholders' equity:
  Common stock, par value $2.50 per share -
    authorized 400.0 shares, issued 269.5 and 268.8 shares                                   673.6                672.0
  Paid-in capital in excess of par value                                                     106.3                 87.2
  Cumulative translation adjustment                                                          (17.2)               (15.0)
  Retained earnings                                                                        2,135.8              1,947.6
                                                                                    ---------------      ----------------
                                                                                           2,898.5              2,691.8
  Less 6.3 and 6.5 shares of treasury stock, at cost                                         102.4                107.1
                                                                                    ---------------      ----------------
  Total shareholders' equity                                                               2,796.1              2,584.7
                                                                                    ---------------      ----------------
    Total liabilities and shareholders' equity                                      $      6,186.0       $      5,603.0
                                                                                    ===============      ================
<FN>

See notes to condensed consolidated financial statements.
</FN>


                                       2






                                                    HALLIBURTON COMPANY
                                        CONDENSED CONSOLIDATED STATEMENTS OF INCOME
                                                        (UNAUDITED)
                                      (In millions of dollars except per share data)


                                                                       Three Months                        Six Months
                                                                      Ended June 30                      Ended June 30
                                                              -------------------------------    -------------------------------
                                                                  1998             1997              1998             1997
                                                              -------------    --------------    -------------    --------------
                                                                                                       
Revenues
  Energy Group                                                $     1,707.0    $     1,456.4     $     3,296.2     $   2,576.7
  Engineering and Construction Group                                  768.6            774.7           1,534.7         1,551.9
                                                              -------------    --------------    -------------     -------------
     Total revenues                                           $     2,475.6    $     2,231.1     $     4,830.9     $   4,128.6
                                                              =============    ==============    =============     =============

Operating income
  Energy Group                                                $       198.3    $       160.1     $       383.3     $     277.3
  Engineering and Construction Group                                   49.9             30.0              78.7            59.4
  General corporate                                                    (9.8)            (8.1)            (19.6)          (16.0)
                                                              -------------    --------------    -------------     -------------
    Total operating income                                            238.4            182.0             442.4           320.7

Interest expense                                                      (12.7)            (9.7)            (24.0)          (15.8)
Interest income                                                         3.5              2.1               6.9             6.5
Foreign currency gains (losses)                                        (0.1)            (0.4)              2.3             0.6
Other nonoperating income (expense), net                               (0.4)            (0.1)             (0.5)            0.5
                                                              -------------    --------------    -------------     -------------
Income before income taxes and minority
  interests                                                           228.7            173.9             427.1           312.5
Provision for income taxes                                            (88.3)           (68.5)           (165.3)         (121.2)
Minority interest in net income of subsidiaries                        (3.9)            (3.5)             (7.5)           (6.4)
                                                              -------------    --------------    -------------     -------------


Net income                                                    $       136.5    $       101.9     $       254.3     $     184.9
                                                              =============    ==============    =============     =============

Income per share:
  Basic                                                       $      0.52      $       0.40      $      0.97       $      0.73
  Diluted                                                     $      0.51      $       0.40      $      0.95       $      0.72
Cash dividends paid per share                                 $     0.125      $      0.125      $      0.25       $      0.25

<FN>

See notes to condensed consolidated financial statements.
</FN>



                                       3






                                                    HALLIBURTON COMPANY
                                      CONDENSED CONSOLIDATED STATEMENTS OF CASH FLOWS
                                                        (UNAUDITED)
                                                 (In millions of dollars)


                                                                                                 Six Months
                                                                                                Ended June 30
                                                                                       --------------------------------
                                                                                           1998               1997
                                                                                       -------------      -------------
                                                                                                    
Cash flows from operating activities:
  Net income                                                                           $     254.3        $     184.9
  Adjustments to reconcile net income to net cash
     from operating activities:
      Depreciation and amortization                                                          167.4              148.1
      Provision (benefit) for deferred income taxes                                           (8.2)              (7.1)
      Distributions from (advances to) related companies net of
           equity in (earnings) or losses                                                    (81.6)             (39.4)
      Other non-cash items                                                                    12.3                5.2
      Other changes, net of non-cash items:
        Receivables                                                                         (338.4)            (220.2)
        Inventories                                                                          (67.3)             (37.1)
        Accounts payable                                                                     119.3              (83.8)
        Other working capital, net                                                           (91.4)              (3.4)
        Other, net                                                                            11.4               29.0
                                                                                       -------------      -------------
  Total cash flows from operating activities                                                 (22.2)             (23.8)
                                                                                       -------------      -------------
Cash flows from investing activities:
  Capital expenditures                                                                      (326.1)            (259.2)
  Sales of property, plant and equipment                                                      26.5               27.8
  Sales (purchases) of businesses, net of cash (disposed) acquired                             4.0             (124.7)
  Other investing activities                                                                  (1.5)             (35.9)
                                                                                       -------------      -------------
  Total cash flows from investing activities                                                (297.1)            (392.0)
                                                                                       -------------      -------------
Cash flows from financing activities:
  Proceeds from long-term borrowing                                                             -               175.6
  Payments on long-term borrowings                                                           (12.7)              (0.4)
  Borrowings (repayments) of short-term debt                                                 316.4              100.8
  Payments of dividends to shareholders                                                      (66.1)             (63.3)
  Proceeds from exercises of stock options                                                    15.1               38.8
  Payments to re-acquire common stock                                                         (1.4)              (0.7)
  Other financing activities                                                                  (4.8)               3.5
                                                                                       -------------      -------------
  Total cash flows from financing activities                                                 246.5              254.3
                                                                                       -------------      -------------
Effect of exchange rate changes on cash                                                       (3.1)              (1.7)
                                                                                       -------------      -------------
Decrease in cash and equivalents                                                             (75.9)            (163.2)
Cash and equivalents at beginning of year                                                    221.3              213.6
                                                                                       -------------      -------------
Cash and equivalents at end of period                                                  $     145.4        $      50.4
                                                                                       =============      =============

Cash payments during the period for:
  Interest                                                                             $      24.6        $      14.1
  Income taxes                                                                               158.2               55.6

Non-cash investing and financing activities:
  Liabilities assumed in acquisitions of businesses                                    $       4.6        $     286.3
  Liabilities disposed of in dispositions of businesses                                       13.4               17.9

<FN>

See notes to condensed consolidated financial statements.
</FN>


                                       4




                               HALLIBURTON COMPANY
              NOTES TO CONDENSED CONSOLIDATED FINANCIAL STATEMENTS
                                   (UNAUDITED)

Note 1. Management Representation
      The  Company  employs  accounting  policies  that are in  accordance  with
generally accepted  accounting  principles in the United States. The preparation
of  financial  statements  in  conformity  with  generally  accepted  accounting
principles  requires  Company  management to make estimates and assumptions that
affect  the  reported  amounts  of assets  and  liabilities  and  disclosure  of
contingent assets and liabilities at the date of the financial  statements,  and
the reported amounts of revenues and expenses during the reporting period.
Ultimate results could differ from those estimates.
      The accompanying  unaudited condensed  consolidated  financial  statements
present information in accordance with generally accepted accounting  principles
for  interim  financial  information  and  the  instructions  to Form  10-Q  and
applicable  rules  of  Regulation  S-X.  Accordingly,  they do not  include  all
information or footnotes  required by generally accepted  accounting  principles
for complete  financial  statements and should be read in  conjunction  with the
Company's 1997 Annual Report on Form 10-K/A.
      In the  opinion of the  Company,  the  financial  statements  include  all
adjustments  necessary to present fairly the Company's  financial position as of
June 30, 1998,  and the results of its  operations  for the three and six months
ended June 30,  1998 and 1997 and its cash flows for the six months  then ended.
The results of  operations  for the three and six months ended June 30, 1998 and
1997 may not be  indicative  of results  for the full year.  Certain  prior year
amounts have been reclassified to conform with the current year presentation.

Note 2. Comprehensive Income



                                                         Three Months                      Six Months
                                                         Ended June 30                    Ended June 30
                                                  ----------------------------    ------------------------------
                                                     1998           1997             1998              1997
                                                  ------------  --------------    -----------      -------------
                                                     (Millions of dollars)            (Millions of dollars)
                                                                                       
              Comprehensive income:
                Net income                        $    136.5    $     101.9       $    254.3       $    184.9
                Cumulative translation
                   adjustment, net of tax               (4.9)          12.9             (2.2)             1.7
                                                  ------------  --------------    -------------    -------------
              Total comprehensive income          $    131.6    $     114.8       $    252.1       $    186.6
                                                  ============  ==============    =============    =============


      Comprehensive  income as  defined by  Statement  of  Financial  Accounting
Standards No. 130, "Reporting  Comprehensive  Income," is net income plus direct
adjustments to shareholders'  equity. The cumulative  translation  adjustment of
certain  foreign  entities  is the only such direct  adjustment  recorded by the
Company.

Note 3. Inventories



                                                    June 30      December 31
                                                     1998            1997
                                                  ------------  ---------------
                                                     (Millions of dollars)
                                                          

              Sales items                         $    142.3    $       114.9
              Supplies and parts                       179.2            158.1
              Work in process                           40.5             29.3
              Raw materials                             32.1             24.6
                                                  ------------  ---------------
                 Total                            $    394.1    $       326.9
                                                  ============  ===============


      About forty percent of all sales items (including  related work in process
and raw materials) are valued using the last-in, first-out (LIFO) method. If the
average  cost method had been in use for  inventories  on the LIFO basis,  total
inventories  would have been about $3.1  million  and $3.4  million  higher than
reported at June 30, 1998 and December 31, 1997, respectively.

                                       5


Note 4. General and Administrative Expenses
      General and  administrative  expenses were $64.3 million and $57.9 million
for the three  months  ended June 30, 1998 and 1997,  respectively.  General and
administrative  expenses  were  $122.9  million  and $108.9  million for the six
months ended June 30, 1998 and 1997, respectively.

Note 5. Income Per Share
      Basic income per share amounts are based on the weighted average number of
common shares outstanding  during the period.  Diluted income per share includes
additional  common shares that would have been  outstanding if potential  common
shares with a dilutive effect had been issued.  The following  table  reconciles
basic and diluted net income.




                                                           Three Months                       Six Months
                                                           Ended June 30                     Ended June 30
                                                   ------------------------------    ------------------------------
                                                      1998              1997            1998             1997
                                                   ------------     -------------    ------------    --------------
                                                     (Millions of dollars and          (Millions of dollars and
                                                   shares except per share data)     shares except per share data)
                                                                                         
Net income                                         $    136.5       $   101.9        $   254.3       $    184.9
                                                   ============     =============    ============    ==============

Basic weighted average shares                           262.9           253.1            262.8            252.9
Effect of common stock equivalents                        3.6             2.9              3.5              2.8
                                                   ------------     -------------    ------------    --------------
Diluted weighted average shares                         266.5           256.0            266.3            255.7
                                                   ============     =============    ============    ==============

Net income per share:
   Basic                                           $     0.52       $    0.40        $   0.97        $     0.73
                                                   ============     =============    ============    ==============
   Diluted                                         $     0.51       $    0.40        $   0.95        $     0.72
                                                   ============     =============    ============    ==============


      Options  to  purchase  1.1  million  shares of  common  stock  which  were
outstanding  during the six months  ended June 30, 1998 were not included in the
computation  of diluted net income per share because the option  exercise  price
was greater than the average market price of the common shares.

Note 6. Related Companies
      The  Company  conducts  some  of  its  operations  through  various  joint
ventures,  which are in partnership,  corporate and other business forms,  which
are  principally  accounted  for  using  the  equity  method.   European  Marine
Contractors,  Limited  (EMC),  which is 50% owned by the Company and part of the
Energy Group, specializes in engineering, procurement and construction of marine
pipelines. Summarized operating results for 100% of the operations of EMC are as
follows:




                                                           Three Months                       Six Months
                                                           Ended June 30                    Ended June 30
                                                   ------------------------------   -------------------------------
                                                      1998             1997             1998             1997
                                                   ------------    --------------   -------------    --------------
                                                       (Millions of dollars)            (Millions of dollars)
                                                                                         
                Revenues                           $    131.2      $    144.8       $    198.6       $     236.2
                                                   ============    ==============   =============    ==============
                Operating income                   $     17.9      $     34.4       $     30.7       $      41.0
                                                   ============    ==============   =============    ==============
                Net income                         $     12.3      $     23.4       $     21.2       $      28.0
                                                   ============    ==============   =============    ==============


      Included in the  Company's  revenues  for the three  months ended June 30,
1998 and 1997 are equity in income of related  companies  of $31.0  million  and
$40.2 million, respectively. The amounts included in revenues for the six months
ended June 30, 1998 and 1997 are $61.2 million and $60.6 million, respectively.
      In the second quarter of 1997, Halliburton Energy Services,  which is part
of the Energy Group,  acquired a 26% ownership interest in Petroleum Engineering
Services (PES) for approximately  $33.6 million.  The purchase price is included
in purchases of  businesses  in the  condensed  consolidated  statements of cash
flows.


                                       6



Note 7. Long-Term Debt
      During 1997 the Company issued notes under its medium-term note program as
follows:



          Amount                Issue Date              Due                 Rate                Prices                Yield
- --------------------------- ------------------- -------------------- -------------------- -------------------- --------------------
                                                                                             
      $ 125  million             02/11/97           02/01/2027             6.75%                99.78%                6.78%
      $  50  million             05/12/97           05/12/2017             7.53%                Par                   7.53%
      $  50  million             07/08/97           07/08/1999             6.27%                Par                   6.27%
      $  75  million             08/05/97           08/05/2002             6.30%                Par                   6.30%
- --------------------------- ------------------- -------------------- -------------------- -------------------- --------------------


      During March 1997,  the Company  incurred  $56.3  million of term loans in
connection with the acquisition of the Royal Dockyard in Plymouth,  England (the
Dockyard  Loans).  The  Dockyard  Loans are  denominated  in  Sterling  and bear
interest at approximately  LIBOR plus 0.75% payable in semi-annual  installments
through March 2004. Pursuant to certain terms of the Dockyard Loans, the Company
was required to provide initially a compensating  balance of $28.7 million which
is  restricted  as to  use by  the  Company.  The  compensating  balance  amount
decreases in proportion to the  outstanding  debt related to the Dockyard  Loans
and  earns  interest  at a rate  equal  to  that  of  the  Dockyard  Loans.  The
compensating  balance of $16.6  million at June 30,  1998 is  included  in other
assets in the condensed consolidated balance sheet.

Note 8. Commitments and Contingencies
      The  Company is  involved  as a  potentially  responsible  party  (PRP) in
remedial  activities  to clean up various  "Superfund"  sites  under  applicable
Federal  law  which  imposes  joint  and  several  liability,  if  the  harm  is
indivisible,  on certain  persons  without regard to fault,  the legality of the
original  disposal,  or ownership of the site.  Although it is very difficult to
quantify the potential impact of compliance with environmental  protection laws,
management  of the Company  believes  that any  liability  of the  Company  with
respect to all but one of such sites will not have a material  adverse effect on
the  results of  operations  of the  Company.  With  respect to a site in Jasper
County,  Missouri (Jasper County Superfund Site), sufficient information has not
been developed to permit  management to make such a determination and management
believes the process of determining the nature and extent of remediation at this
site and the total costs thereof will be lengthy.  Brown & Root,  Inc.  (Brown &
Root), a subsidiary of the Company,  has been named as a PRP with respect to the
Jasper County Superfund Site by the  Environmental  Protection Agency (EPA). The
Jasper County  Superfund  Site includes  areas of mining  activity that occurred
from the 1800s  through the mid 1950s in the  southwestern  portion of Missouri.
The site  contains lead and zinc mine  tailings  produced from mining  activity.
Brown & Root is one of nine  participating  PRPs which have  agreed to perform a
Remedial  Investigation/Feasibility Study (RI/FS), which, due to various delays,
is not  expected to be  completed  until  sometime in 1999.  Although the entire
Jasper  County  Superfund  Site  comprises  237  square  miles as  listed on the
National  Priorities  List,  in the  RI/FS  scope  of  work,  the EPA  has  only
identified  seven areas,  or subsites,  within this area that need to be studied
and then possibly remediated by the PRPs. Additionally, the Administrative Order
on Consent for the RI/FS only requires Brown & Root to perform RI/FS work at one
of the subsites  within the site,  the Neck/Alba  subsite,  which only comprises
3.95  square  miles.  Brown &  Root's  share  of the cost of such a study is not
expected  to be  material.  In addition to the  superfund  issues,  the State of
Missouri has indicated that it may pursue natural resource damage claims against
the PRPs.  At the present time Brown & Root cannot  determine  the extent of its
liability,  if any, for  remediation  costs or natural  resource  damages on any
reasonably practicable basis.
     The  Company  and its  subsidiaries  are  parties  to various  other  legal
proceedings.  Although the ultimate  dispositions  of such  proceedings  are not
presently  determinable,  in the opinion of the Company any  liability  that may
ensue will not be material in relation to the  consolidated  financial  position
and results of operations of the Company.


                                       7



Note 9.  Acquisitions and Dispositions
     During  March  1997,  the  Devonport   management   consortium,   Devonport
Management  Limited  (DML),  which is 51% owned by the  Company,  completed  the
acquisition  of  Devonport  Royal  Dockyard  plc,  which owns and  operates  the
Government of the United  Kingdom's  Royal  Dockyard in Plymouth,  England,  for
approximately  $64.9  million.  Concurrent  with the  acquisition  of the  Royal
Dockyard,  the Company's  ownership  interest in DML increased from about 30% to
51% and DML borrowed $56.3 million under term loans.
     During April 1997, the Company completed its acquisition of the outstanding
common stock of OGC International  plc (OGC) for  approximately  $118.3 million.
OGC is engaged in providing a variety of engineering, operations and maintenance
services, primarily to the North Sea oil and gas production industry.
     During July 1997, the Company acquired all of the outstanding  common stock
and  convertible   debentures  of  Kinhill   Holdings   Limited   (Kinhill)  for
approximately  $34  million.  Kinhill,   headquartered  in  Australia,  provides
engineering for mining and minerals processing,  petroleum and chemicals,  water
and wastewater, transportation and commercial and civil infrastructure.  Kinhill
markets its services  primarily in Australia,  Indonesia,  Thailand,  Singapore,
India, and the Philippines.
      In 1997, the Company recorded  approximately  $99.1 million excess of cost
over net assets acquired  primarily related to the purchase  acquisitions of OGC
and Kinhill.
      On September  30, 1997,  the Company  completed its  acquisition  of NUMAR
Corporation  (NUMAR)  through the merger of a subsidiary of the Company with and
into  NUMAR,  the  conversion  of the  outstanding  NUMAR  common  stock into an
aggregate of approximately 8.2 million shares of common stock of the Company and
the  assumption by the Company of the  outstanding  NUMAR stock options (for the
exercise of which the Company has  reserved an aggregate  of  approximately  0.9
million  shares of common  stock of the  Company).  The  merger  qualified  as a
tax-free exchange and was accounted for using the pooling of interests method of
accounting for business combinations. The Company has not restated its financial
statements to include NUMAR's historical  operating results because they are not
material to the Company.  NUMAR's  assets and  liabilities on September 30, 1997
were  included  in the  Company's  accounts  of the same date,  resulting  in an
increase in net assets of $21.3 million. Headquartered in Malvern, Pennsylvania,
NUMAR designs,  manufacturers and markets the Magnetic Resonance Imaging Logging
(MRIL(R)) tool which utilizes magnetic  resonance imaging technology to evaluate
subsurface rock formations in newly drilled oil and gas wells.
     In December 1997, the Company sold its  environmental  services business to
Tetra Tech,  Inc. for  approximately  $32 million.  The sale was prompted by the
Company's desire to divest non-core  businesses and had no significant effect on
net income in 1997.

Note 10.  Halliburton / Dresser Merger
      On February 26, 1998 the Company and Dresser  Industries,  Inc.  (Dresser)
announced  that a  definitive  merger  agreement  was  approved  by the board of
directors of both companies and executed on February 25, 1998. Approximately 175
million  newly issued  shares of Company  common stock will be issued to Dresser
shareholders at a one-for-one  exchange ratio. The transaction will be accounted
for by the pooling of interests  method of accounting for business  combinations
and  is  expected  to  be  tax-free  to  Dresser's  shareholders.  Dresser  is a
diversified  company with  operations in three  industry  segments:  engineering
services; petroleum products and services; and energy equipment. The transaction
is subject  to  regulatory  approvals  in the United  States and  several  other
countries and customary closing  conditions.  On April 20, 1998, the Company and
Dresser  announced  that the  companies  had received  requests  for  additional
information  concerning the proposed  merger from the Antitrust  Division of the
U.S.  Department  of Justice.  The  requests  were not  unexpected  and both the
Company and Dresser are responding to the Department of Justice. The Company has
offered  the  Department  of Justice its  written  commitment  to divest its 36%
interest in M-I L.L.C. On June 25, 1998, shareholders of the Company voted their
approval  for  (1)  an  amendment  to  the  Company's  Restated  Certificate  of
Incorporation  to  increase  the number of  authorized  common  shares  from 400
million to 600 million and (2) the issuance of Company  common stock pursuant to
the merger  agreement  between  the  Company and  Dresser.  Also,  at a separate
meeting on June 25, 1998,  shareholders of Dresser approved the merger agreement
between  Halliburton  and  Dresser.  On July 6, 1998,  the  Company  and Dresser
received the European  Commission's decision that the Commission will not oppose
the merger of the two companies.  On July 9, 1998, the Company announced receipt
of an Advance Ruling  Certificate from the Canadian Bureau of Competition Policy
clearing the merger of the two  companies.  The companies  continue to expect to
complete the merger during the fall of 1998.


                                       8



Item 2. Management's  Discussion and Analysis of Financial Condition and Results
of Operations.

BUSINESS ENVIRONMENT

      The Company  operates in over 100 countries  around the world to provide a
variety of energy services and engineering and construction  services to energy,
industrial and governmental customers.  The industries served by the Company are
highly  competitive  with  many  substantial  competitors.  Operations  in  some
countries may be affected by unsettled  political  conditions,  expropriation or
other governmental  actions,  exchange controls and currency  devaluations.  The
Company  believes the  geographic  diversification  of its  business  activities
reduces  the  risk  that  loss of its  operations  in any one  country  would be
material to its consolidated results of operations.
      About 79% of the Company's  revenues in 1997 were derived from the sale of
services  and  products,   including  construction  activities,  to  the  energy
industry.  The  decline in oil  prices in the first half of 1998 has  translated
into a decrease in the worldwide average rotary rig count and some hesitation on
the part of  customers  of the  Company to commit to  longer-term  projects.  In
response  to  potentially  weakening  markets in some  areas of the  world,  the
Company  is  implementing  plans to  reduce  the  number of  employees  in those
geographic  areas where activity  levels are lower than expected,  to scale back
discretionary  spending  on capital  expenditures  and to curtail  discretionary
travel and other expenses.

RESULTS OF OPERATIONS

Second Quarter of 1998 Compared with the Second Quarter of 1997
Revenues
      Consolidated  revenues  increased  11% to  $2,475.6  million in the second
quarter of 1998 compared with $2,231.1  million in the same quarter of the prior
year. Approximately 61% of the Company's consolidated revenues were derived from
international  activities  in the second  quarter of 1998 compared to 59% in the
second quarter of 1997. Consolidated international revenues increased 16% in the
second  quarter of 1998 over the second  quarter  of 1997.  Consolidated  United
States  revenues  increased by 3% in the second  quarter of 1998 compared to the
second quarter of 1997.
      Energy Group revenues increased by 17% for the second quarter of 1998 over
the same  quarter of the prior year  notwithstanding  an 8% decrease in drilling
activity as measured by the worldwide rotary rig count.  International  revenues
increased by 22% and United States  revenues  increased 6% in the second quarter
of 1998 while the United States rig count decreased 7% for the second quarter of
1998 as compared to the same  quarter of the prior year.  Most of the  increased
revenues were from pressure pumping  activities,  notably in Europe/Africa,  and
upstream oil and gas engineering services.
     Engineering  and  Construction  Group  revenues were $768.6  million in the
second  quarter of 1998  compared to $774.7  million in the same  quarter of the
prior  year.  The  slight  decrease  in  revenues  was  due to the  sale  of the
environmental services business in December 1997, lower activity in the pulp and
paper  industry,  and lower activity  levels in the Group's  contract to provide
technical and logistical support for military peacekeeping operations in Bosnia.
These decreases were almost entirely offset by increased revenues recognized for
engineering  and  construction  services for refining and civil contracts in the
United  States and Latin  America and increased  revenues in  Asia/Pacific  from
Kinhill, which was acquired in the third quarter of 1997.

Operating Income
      Consolidated  operating  income  increased  31% to $238.4  million  in the
second  quarter of 1998 compared with $182.0  million in the same quarter of the
prior year. Approximately 54% of the Company's consolidated operating income was
derived from  international  activities  in both the second  quarter of 1998 and
1997.
      Energy  Group  operating  income  increased  24% to $198.3  million in the
second  quarter of 1998 compared with $160.1  million in the same quarter of the
prior  year.  The  operating  margin  for the  second  quarter of 1998 was 11.6%
compared to the prior year second quarter  operating  margin of 11.0%.  Improved
operating  income was  largely  due to  pressure  pumping in the North  America,
Europe/Africa and Asia/Pacific regions,  improved margins on sales of completion
products in the  Europe/Africa,  Latin  America and  Asia/Pacific  regions,  and
upstream oil and gas engineering services in Europe and North America.
      Engineering and Construction Group operating income increased 66% to $49.9
million in the second  quarter of 1998  compared to $30.0  million in the second
quarter of the prior year. Operating margins were 6.5% in the second quarter of


                                       9



1998 compared to 3.9% in the prior year second quarter. Second quarter operating
income  benefited  from  a  claim  on a  Middle  Eastern  construction  project.
Excluding this settlement,  operating margins for the second quarter of 1998 for
the Group were about  4.5%.  Included  in second  quarter  operating  income are
improved results from  construction  and engineering  services for the chemicals
and refining lines of business.

 Nonoperating Items
      Interest expense  increased to $12.7 million in the second quarter of 1998
compared to $9.7 million in the same quarter of the prior year due  primarily to
the Company's  issuance of debt under the Company's  medium-term note program in
1997 for working capital, capital expenditures and acquisitions.
      Interest  income in the second  quarter of 1998  increased to $3.5 million
from $2.1 million in the second  quarter of 1997  primarily due to higher levels
of invested cash.
      Foreign  currency  losses were $0.1 million for the second quarter of 1998
as compared to $0.4 million for the same quarter in 1997.
      The effective income tax rate decreased to 38.6% for the second quarter of
1998 from 39.4% for the second quarter of 1997 and is expected to remain between
38% and 39% for the year of 1998.
      Minority  interest in net income of subsidiaries for the second quarter of
1998  increased to $3.9 million  compared to $3.5 million for the second quarter
of 1997.

Net Income
      Net income in the second quarter of 1998 increased 34% to $136.5  million,
or $0.51 per diluted share,  compared with $101.9 million,  or $0.40 per diluted
share, in the same quarter of the prior year.

First Six Months of 1998 Compared with the First Six Months of 1997
Revenues
      Consolidated  revenues  increased 17% to $4,830.9 million in the first six
months of 1998 compared  with  $4,128.6  million in the same period of the prior
year. Approximately 61% of the Company's consolidated revenues were derived from
international  activities in the first six months of 1998 compared to 57% in the
same period of 1997.  Consolidated  international  revenues increased 25% in the
first  six  months of 1998 over the same  period  of 1997.  Consolidated  United
States revenues  increased by 6% in the first six months of 1998 compared to the
same period of 1997.
      Energy Group revenues  increased 28% for the first six months of 1998 over
the same  period of the prior  year  compared  with a 1%  increase  in  drilling
activity as measured by the worldwide rotary rig count.  International  revenues
increased  by 36% and  United  States  revenues  increased  13% in the first six
months of 1998 while the  international  rig count  decreased  1% and the United
States rig count  increased 3% as compared to the same period of the prior year.
A large  part  of the  increase  in  revenues  were  from  upstream  oil and gas
engineering services.
     Engineering  and  Construction  Group  revenues  decreased  1% to  $1,534.7
million in the first six months of 1998 compared  with  $1,551.9  million in the
same six month period of the prior year.  Lower revenues were due to the sale of
the environmental services business in December 1997, lower activity in the pulp
and paper industry and lower activity levels in the Group's  contract to provide
technical and logistical support for military peacekeeping operations in Bosnia.
These  decreases  were  partially  offset by improved  revenues  recognized  for
engineering  and  construction  services for refining and civil contracts in the
United  States and Latin  America and increased  revenues in  Asia/Pacific  from
Kinhill, which was acquired in the third quarter of 1997.

Operating Income
      Consolidated operating income increased 38% to $442.4 million in the first
six months of 1998 compared with $320.7  million in the same period of the prior
year.  Approximately  54% of the  Company's  consolidated  operating  income was
derived from  international  activities in the first six months of 1998 compared
to 58% in the same period of 1997.
      Energy Group operating income increased 38% to $383.3 million in the first
six months of 1998 compared with $277.3  million in the same period of the prior
year.  The operating  margin for the first six months of 1998 was 11.6% compared
to the prior year operating margin for the same period of 10.8%. The improvement
in operating  income was due largely to pressure  pumping in the North  America,
Europe/Africa and Asia/Pacific regions, improved margins on sales of completion


                                       10



products in the North  America and Latin America  regions,  and upstream oil and
gas engineering services in Europe and North America.
      Engineering  and  Construction  Group  operating  income for the first six
months of 1998 increased 32% to $78.7 million  compared to 1997 operating income
of $59.4 million for the same period. Operating margins improved to 5.1% for the
first six months of 1998 from 3.8% for the same period in 1997. Operating income
includes  settlement  of a  claim  on a  Middle  Eastern  construction  project.
Excluding this  settlement,  operating  margins for the first six months of 1998
for the Group were about 4.2%. Operating income for the first six months of 1998
include  improved  results from  construction  and engineering  services for the
chemicals and refining lines of business.

Nonoperating Items
      Interest  expense  increased  to $24.0  million in the first six months of
1998  compared  to  $15.8  million  in the same  period  of the  prior  year due
primarily to the Company's issuance of debt under the Company's medium-term note
program in 1997 for working capital, capital expenditures and acquisitions.
      Interest  income in the first six months of 1998 increased to $6.9 million
from $6.5 million in the same period of 1997  primarily  due to higher levels of
invested cash.
      Foreign  currency gains were $2.3 million for the first six months of 1998
as compared to $0.6 million for the same period in 1997.
      The  effective  income tax rate was 38.7% for the first six months of 1998
and 38.8% for the same period of 1997. The effective income tax rate is expected
to remain between 38% and 39% for the year of 1998.
      Minority  interest in net income of subsidiaries  was $7.5 million for the
first six months of 1998  compared  to $6.4  million  for the same period in the
prior year.

Net Income
      Net  income  in the  first  six  months  of 1998  increased  38% to $254.3
million, or $0.95 per diluted share,  compared with $184.9 million, or $0.72 per
diluted share, in the same period of the prior year.

LIQUIDITY AND CAPITAL RESOURCES

      The Company ended the second quarter of 1998 with cash and  equivalents of
$145.4 million, a decrease of $75.9 million from the end of 1997.

Operating Activities
      Cash flows used for operating  activities  were $22.2 million in the first
six months of 1998, as compared to cash flows used for  operating  activities of
$23.8 million in the first six months of 1997. The major operating  activity use
of cash in 1998 was to fund working  capital  requirements  related to increased
revenues  from the  Energy  Group and for  Engineering  and  Construction  Group
projects.  Operating cash was also used in funding cash needs of  unconsolidated
subsidiaries.

Investing Activities
      Capital expenditures were $326.1 million for the first six months of 1998,
an  increase  of 26% over the same  period of the prior  year.  The  increase in
capital spending primarily reflects  investments in equipment and infrastructure
for  the  Energy  Group  which  includes  strategic  investments  in oil and gas
developments.  The  Company  also  continued  its  planned  investments  in  its
enterprise-wide information system.
      During March 1997,  DML, which is 51% owned by the Company,  completed the
acquisition  of  Devonport  Royal  Dockyard  plc,  which owns and  operates  the
Government of the United  Kingdom's  Royal  Dockyard in Plymouth,  England,  for
approximately  $64.9  million.  Concurrent  with the  acquisition  of the  Royal
Dockyard,  the Company's  ownership  interest in DML increased from about 30% to
51% and DML borrowed $56.3 million under term loans (the Dockyard Loans) bearing
interest at approximately  LIBOR plus 0.75% payable in semi-annual  installments
through March 2004. Pursuant to certain terms of the Dockyard Loans, the Company
was required to provide initially a compensating  balance of $28.7 million which
is  restricted  as to  use by  the  Company.  The  compensating  balance  amount
decreases in proportion to the  outstanding  debt related to the Dockyard  Loans
and earns interest at a rate equal to that of the Dockyard Loans.


                                       11



      During  April  1997,  the  Company   completed  its   acquisition  of  the
outstanding common stock of OGC International plc (OGC) for approximately $118.3
million.  OGC is engaged in providing a variety of  engineering,  operations and
maintenance  services,  primarily  to the  North  Sea  oil  and  gas  production
industry.
      Also in April 1997,  the Company  purchased  a 26%  ownership  interest in
Petroleum  Engineering  Services  (PES) for  approximately  $33.6  million.  PES
provides specialist well completions and interventions,  completion services and
completion solutions.

Financing Activities
      Cash flows from financing  activities were $246.5 million in the first six
months of 1998 compared to cash flows of $254.3  million in the first six months
of 1997. The Company  borrowed $316.4 million in short-term  funds consisting of
commercial  paper and bank loans in the first six months of 1998.  Proceeds from
exercises of stock options provided cash flows of $15.1 million in the first six
months of 1998 compared to $38.8 million in the same period of the prior year.
      In the first six months of 1997,  the Company  borrowed  $100.8 million in
short-term  funds net of  repayments  consisting  of  commercial  paper and bank
loans.  Also in the first six months of 1997,  the Company issued $125.0 million
principal  amount of 6.75%  notes and $50.0  million  principal  amount of 7.53%
notes under the Company's medium-term note program.
      The Company  believes  it has  sufficient  borrowing  capacity to fund its
working capital  requirements and investing  activities.  The Company's debt was
23% of total  capitalization  at June 30, 1998  compared to 18% at December  31,
1997.  At June 30, 1998,  the Company had committed  short-term  lines of credit
totaling  $350.0 million  available and unused,  and other  short-term  lines of
credit totaling $315.0 million with several U.S. banks. Short-term borrowings of
$182.0 million were outstanding under these facilities at June 30, 1998.

FINANCIAL INSTRUMENT MARKET RISK

      The Company is  currently  exposed to market risk from  changes in foreign
currency  exchange rates, and to a lesser extent,  to changes in interest rates.
To mitigate  market risk, the Company  selectively  hedges its foreign  currency
exposure through the use of currency  derivative  instruments.  The objective of
such hedging is to protect the Company's dollar cash flows from  fluctuations in
currency rates of foreign  denominated  sales or purchases of goods or services.
Inherent in the use of derivative  instruments are certain types of market risk:
volatility  of the  currency  rates,  tenor  (time  horizon)  of the  derivative
instruments,  market cycles and the type of  derivative  instruments  used.  The
Company does not use derivative instruments for trading or speculative purposes.
There have been no material  changes at June 30, 1998 to the amounts reported at
December  31,  1997 to the  Company's  calculated  value  at risk  from  foreign
exchange derivative  instruments.  The Company's interest rate exposures at June
30, 1998 were not materially changed from December 31, 1997.

HALLIBURTON / DRESSER MERGER

      On February 26, 1998 the Company and Dresser  Industries,  Inc.  (Dresser)
announced  that a  definitive  merger  agreement  was  approved  by the board of
directors of both companies and executed on February 25, 1998. Approximately 175
million  newly issued  shares of Company  common stock will be issued to Dresser
shareholders at a one-for-one  exchange ratio. The transaction will be accounted
for by the pooling of interests  method of accounting for business  combinations
and  is  expected  to  be  tax-free  to  Dresser's  shareholders.  Dresser  is a
diversified  company with  operations in three  industry  segments:  engineering
services; petroleum products and services; and energy equipment. The transaction
is subject  to  regulatory  approvals  in the United  States and  several  other
countries and customary closing  conditions.  On April 20, 1998, the Company and
Dresser  announced  that the  companies  had received  requests  for  additional
information  concerning the proposed  merger from the Antitrust  Division of the
U.S.  Department  of Justice.  The  requests  were not  unexpected  and both the
Company and Dresser are responding to the Department of Justice. The Company has
offered  the  Department  of Justice its  written  commitment  to divest its 36%
interest in M-I L.L.C. On June 25, 1998, shareholders of the Company voted their
approval  for  (1)  an  amendment  to  the  Company's  Restated  Certificate  of
Incorporation  to  increase  the number of  authorized  common  shares  from 400
million to 600 million and (2) the issuance of Company  common stock pursuant to
the  merger  agreement  between  the  Company  and  Dresser. Also, at a separate


                                       12


meeting on June 25, 1998,  shareholders of Dresser approved the merger agreement
between  Halliburton  and  Dresser.  On July 6, 1998,  the  Company  and Dresser
received the European  Commission's decision that the Commission will not oppose
the merger of the two companies.  On July 9, 1998, the Company announced receipt
of an Advance Ruling  Certificate from the Canadian Bureau of Competition Policy
clearing the merger of the two  companies.  The companies  continue to expect to
complete the merger during the fall of 1998.

ENVIRONMENTAL MATTERS

       The Company is involved as a  potentially  responsible  party in remedial
activities to clean up various  "Superfund"  sites under applicable  federal law
which  imposes  joint and  several  liability,  if the harm is  indivisible,  on
certain persons without regard to fault, the legality of the original  disposal,
or  ownership  of the  site.  Although  it is very  difficult  to  quantify  the
potential impact of compliance with environmental protection laws, management of
the Company  believes  that any liability of the Company with respect to all but
one of such  sites  will not have a material  adverse  effect on the  results of
operations of the Company.  See Note 8 to the condensed  consolidated  financial
statements for additional information on the one site.

YEAR 2000 ISSUE

       The Year  2000  (Y2K)  issue  is the  risk  that  systems,  products  and
equipment  utilizing  date-sensitive  software or computer  chips with two-digit
date fields will fail to properly  recognize the Year 2000. Such failures by the
Company's  software  and  hardware  or  that  of  government  entities,  service
providers,  suppliers  and  customers  could  result  in  interruptions  of  the
Company's business which could have a material adverse impact on the Company.
        In  response  to  the  Y2K  issue,   the  Company  has   implemented  an
enterprise-wide  Year 2000  Program  designed  to  identify,  assess and address
significant  Y2K issues in the  Company's  key  business  operations,  including
products  and  services,   suppliers,  business  and  engineering  applications,
information technology systems,  facilities and infrastructure and joint venture
projects.
       The Year 2000 Program is a comprehensive, integrated, multi-phase process
covering  information  technology  systems and hardware as well as equipment and
products with embedded  computer  chips  technology.  The primary  phases of the
program are: (1)  inventorying  existing  equipment  and systems;  (2) analyzing
equipment  and  systems  to  identify  those  which  are  not Y2K  ready  and to
prioritize critical items; (3) remediating, repairing or replacing non-Y2K ready
equipment  and  systems;  and (4)  testing  to  verify  Y2K  readiness  has been
achieved.   The  Company   anticipates   having  the   Company's   products  and
mission-critical  systems and  equipment Y2K ready during the first half of 1999
with the balance of the year reserved for testing and  implementation of new and
modified programs as required.
       At the end of the second  quarter of 1998, the inventory of equipment and
systems  was   substantially   complete.   The   analysis   phase  is  underway.
Remediation/installation  for the  majority of these  systems  will be performed
internally.  The Company is utilizing  outside  contractors  for  remediation of
major legacy accounting and administrative  systems. Some information technology
systems and Company  manufactured  products  and  developed  software  have been
remediated and have entered the testing phase.
       The Company is in contact with its major suppliers and service  providers
to establish a mutual  understanding of Y2K issues and to develop solutions with
those  suppliers.  These  suppliers  are being  surveyed as to their  ability to
provide  products  that are Y2K ready  and to  provide  uninterrupted  services.
Critical suppliers are being further evaluated to review their Y2K programs.  No
suppliers have been  identified who expect  interruption of services or supplies
to the Company.
       Independent  of, but  concurrent  with,  the  Company's  Y2K review,  the
Company is installing  an  enterprise-wide  business  information  system.  This
information  system  is  scheduled  to  replace  approximately  one-half  of the
Company's key finance,  administrative and marketing software systems by the end
of 1999  and is Y2K  ready.  In  addition,  the  Company  is in the  process  of
replacing  its  desktop  computing  equipment  and  software  and  updating  its
communications infrastructure.  The Company has determined that although some of
the replaced  desktop  computing  equipment and software may not be strictly Y2K
compliant, such replacements are nevertheless suitable for the usage intended by
the Company.
       Based on the  Company's  review to date,  it does not  expect the cost of
software  replacement or  modification  not currently  included in the Company's
enterprise-wide  information  system to be material to its financial position or
results of operations.


                                       13



       The Company entered into a merger  agreement with Dresser on February 25,
1998.  Within the  guidelines of the U.S.  Department of Justice  regulations on
pre-merger activities,  the Company is evaluating Dresser's Y2K program in order
to bring the two companies into a common Y2K program after the merger.

ACCOUNTING PRONOUNCEMENTS

       In June 1997, the Financial  Accounting  Standards Board issued Statement
of Financial  Accounting  Standards No. 131,  "Disclosures  about Segments of an
Enterprise   and  Related   Information."   This  standard   defines   reporting
requirements for operating  segments and related  information about products and
services,  geographic  areas and  reliance  on major  customers.  The Company is
evaluating the impact of this statement on its current  reporting and expects to
adopt the new  standard  for its year ending  December  31,  1998,  with interim
reporting beginning in 1999.
       In  February  1998,  the  Financial  Accounting  Standards  Board  issued
Statement of Financial  Accounting  Standards No. 132,  "Employers'  Disclosures
about  Pensions  and  Other  Postretirement  Benefits."  This  standard  revises
existing  requirements  for  employers'   disclosures  for  pensions  and  other
postretirement  benefit  plans.  The  standard  does not change  measurement  or
recognition  standards for these plans. The Company plans to present the revised
disclosure requirements in its 1998 Annual Report.
       In March 1998,  the American  Institute of Certified  Public  Accountants
issued  Statement of Position No.  98-1,  "Accounting  for the Costs of Computer
Software  Developed or Obtained for Internal Use" (SOP 98-1).  SOP 98-1 provides
guidelines  for companies to capitalize or expense costs  incurred to develop or
obtain internal use software. The guidelines set forth in SOP 98-1 do not differ
significantly  from the  Company's  current  accounting  policy for internal use
software  and  therefore  the Company  does not expect a material  impact on its
results of operations or financial  position from the adoption of SOP 98-1.  The
Company plans to adopt SOP 98-1 effective January 1, 1999.
       In April 1998,  the American  Institute of Certified  Public  Accountants
issued  Statement  of  Position  98-5,  "Reporting  on  the  Costs  of  Start-Up
Activities"  (SOP 98-5).  SOP 98-5  requires  costs of start-up  activities  and
organization costs to be expensed as incurred. The Company is evaluating when it
will adopt SOP 98-5 and is  currently  analyzing  the  impact on its  results of
operations from the adoption of SOP 98-5.
       In June 1998, the Financial  Accounting  Standards Board issued Statement
of  Financial   Accounting   Standards  No.  133,   "Accounting  for  Derivative
Instruments  and for Hedging  Activities"  (SFAS 133).  This  standard  requires
entities to recognize all derivatives on the statement of financial  position as
assets or liabilities and to measure the  instruments at fair value.  Accounting
for gains and losses  from  changes in those fair  values are  specified  in the
standard  depending on the intended use of the  derivative  and other  criteria.
SFAS 133 is effective for the Company  beginning January 1, 2000. The Company is
currently evaluating SFAS 133 to identify  implementation and compliance methods
and has not yet determined  the effect,  if any, on its results of operations or
financial position.

FORWARD-LOOKING INFORMATION

       In accordance with the safe harbor  provisions of the Private  Securities
Litigation  Reform Act of 1995, the Company cautions that the statements in this
quarterly  report and  elsewhere,  which are  forward-looking  and which provide
other than  historical  information,  involve risks and  uncertainties  that may
impact the Company's  actual results of operations.  While such  forward-looking
information  reflects the Company's best judgment based on current  information,
it involves a number of risks and  uncertainties  and there can be no  assurance
that  other  factors  will  not  affect  the  accuracy  of such  forward-looking
information.  While it is not  possible to  identify  all  factors,  the Company
continues to face many risks and  uncertainties  that could cause actual results
to differ from those forward-looking statements. Such factors include: unsettled
political  conditions,  war, civil unrest,  currency  controls and  governmental
actions in over 100  countries of  operation;  trade  restrictions  and economic
embargoes imposed by the United States and other countries;  environmental laws,
including those that require emission performance standards for new and existing
facilities;  the magnitude of governmental  spending for military and logistical
support of the type  provided  by the  Company;  operations  in  countries  with
significant amounts of political risk,  including,  without limitation,  Algeria
and Nigeria;  technological  and structural  changes in the industries served by
the  Company;  computer  software and  hardware  and other  equipment  utilizing
computer technology used by governmental entities,  service providers,  vendors,
customers and the Company which may be impacted by the Y2K issue; completion of


                                       14



the announced merger with Dresser;  integration of acquired  businesses into the
Company;  changes in the price of oil and natural  gas;  changes in the price of
commodity  chemicals  used  by the  Company;  changes  in  capital  spending  by
customers in the hydrocarbon industry for exploration,  development, production,
processing,  refining and pipeline delivery networks;  increased  competition in
the hiring and retention of employees;  changes in capital spending by customers
in the wood pulp and paper  industries  for  plants  and  equipment;  risks from
entering into fixed fee engineering, procurement and construction projects where
failure to meet schedule,  cost estimates or performance targets could result in
non-reimbursable  costs  which cause the  project  not to meet  expected  profit
margins;  and changes in capital spending by governments for infrastructure.  In
addition,  future trends for pricing, margins, revenues and profitability remain
difficult to predict in the industries served by the Company.


                                       15



PART II.  OTHER INFORMATION

Item 4.  Submission of Matters to a Vote of Security Holders

At the Special Meeting held in lieu of the Annual Meeting of Stockholders of the
Company on June 25, 1998, stockholders of the Company were asked to consider and
act  upon  (i) a  proposal  to  amend  the  Company's  Restated  Certificate  of
Incorporation  (the  Charter) to  increase  the number of  authorized  shares of
common  stock  from 400  million  to 600  million,  (ii) the  proposal  to issue
approximately  175 million  shares of Company  common stock pursuant to a merger
agreement  between the Company and Dresser,  (iii) the election of Directors for
the  ensuing  year,  and (iv) a  proposal  to ratify the  appointment  of Arthur
Andersen LLP as independent  accountants to examine the financial statements and
books and records of the Company for 1998.  Set forth below with respect to each
such  matter,  where  applicable,  is the number of votes  cast for,  against or
withheld, as well as the number of abstentions and broker non-votes.

      i.   Proposal to amend the Charter:

      Number of Votes For                189,647,051
      Number of Votes Against              3,181,243
      Number of Votes Abstaining             326,657
      Number of Broker Non-Votes          27,228,652

      ii. Proposal to issue  approximately  175 million shares of Company common
          stock pursuant to the merger agreement with Dresser:

      Number of Votes For                191,980,121
      Number of Votes Against                461,627
      Number of Votes Abstaining             713,203
      Number of Broker Non-Votes          27,228,652

       iii.   Election of Directors:

      Name of Nominee                   Votes For              Votes Withheld

      Anne L. Armstrong                 219,675,972                707,631
      Richard B. Cheney                 219,736,074                647,529
      Lord Clitheroe                    219,710,834                672,769
      Robert L. Crandall                219,670,530                713,073
      Charles J. DiBona                 219,749,004                634,599
      William R. Howell                 219,717,060                666,543
      Dale P. Jones                     219,763,895                619,708
      Delano E. Lewis                   219,775,401                608,202
      C. J. Silas                       219,770,552                613,051
      Richard J. Stegemeier             219,709,495                674,108

      iv. Proposal  to  ratify  the   appointment  of  Arthur  Andersen  LLP  as
          independent  accountants to examine the financial statements and books
          and records of the Company for 1998:

      Number of Votes For                219,832,966
      Number of Votes Against                299,950
      Number of Votes Abstaining             250,687


                                       16



Item 6.  Exhibits and Reports on Form 8-K

      (a)    Exhibits

      2(a)   Agreement  and Plan of Merger  dated as of February 25, 1998 by and
             among  Halliburton  Company,  Halliburton  N.C.,  Inc., and Dresser
             Industries,  Inc.  (incorporated  by  reference  to  Exhibit  C  to
             Halliburton Company's Schedule 13D filed on March 9, 1998).

      2(b)   Stock Option Agreement dated as of February 25, 1998 by and between
             Halliburton  Company and  Dresser Industries, Inc. (incorporated by
             reference to  Exhibit B to Halliburton Company's Schedule 13D filed
             on March 9, 1998).

*     3(a)   Restated   Certificate  of  Incorporation  of  Halliburton  Company
             filed with the Secretary of State of Delaware on July 23, 1998.

      3(b)   By-laws  of  Halliburton  Company,  as  amended  (incorporated   by
             reference  to  Halliburton Company's Registration Statement on Form
             S-3  File  No. 333-32731 filed  with the  Securities  and  Exchange
             Commission  on August 1, 1997).

*     10(a)  Halliburton  Elective   Deferral  Plan,  as  amended  and  restated
             effective January 1, 1998.

*     10(b)  Halliburton  Company   Senior  Executives'  Deferred   Compensation
             Plan, as amended and restated effective January 1, 1998.

*     27     Financial  data  schedule  for  the  six months ended June 30, 1998
             (included only in the copy of this report filed electronically with
             the Commission).

      *        filed with this Form 10-Q

      (b)     Reports on Form 8-K

      During the second quarter of 1998:

      A Current Report on Form 8-K dated April 20, 1998, was filed  reporting on
      Item 5. Other  Events,  regarding  a press  release  dated  April 20, 1998
      disclosing  an  information  request from the U.S.  Department  of Justice
      concerning the proposed merger between the Company and Dresser.

      A Current Report on Form 8-K dated April 22, 1998, was filed  reporting on
      Item 5. Other  Events,  regarding  a press  release  dated  April 22, 1998
      announcing the Company's first quarter earnings.

      A Current  Report on Form 8-K dated May 8, 1998,  was filed  reporting  on
      Item  5.  Other  Events,  regarding  a press  release  dated  May 8,  1998
      announcing the date of the special meeting of shareholders.

      A Current  Report on Form 8-K dated May 19, 1998,  was filed  reporting on
      Item 5.  Other  Events,  regarding  a press  release  dated  May 19,  1998
      announcing declaration of the second quarter dividend.

      A Current  Report on Form 8-K dated June 1, 1998,  was filed  reporting on
      Item 5.  Other  Events,  regarding  a press  release  dated  June 1,  1998
      announcing  the Company had  renotified  its proposed  merger with Dresser
      to the European Commission.

      A Current Report on Form 8-K dated June 12, 1998,  was filed  reporting on
      Item 5. Other  Events,  regarding  a press  release  dated  June 12,  1998
      announcing  the  initial   one-month  review  period  under  the  European
      Community's merger regulations will expire on July 6, 1998.

      A Current Report on Form 8-K dated June 25, 1998,  was filed  reporting on
      Item 5. Other  Events,  regarding  a press  release  dated  June 25,  1998
      announcing the results of the Company's special shareholders' meeting.


                                       17



      During the third quarter of 1998 to the date hereof:

      A Current  Report on Form 8-K dated July 6, 1998,  was filed  reporting on
      Item 5.  Other  Events,  regarding  a press  release  dated  July 6,  1998
      announcing  the  proposed merger of the Company and Dresser was cleared by
      the European Commission.

      A Current  Report on Form 8-K dated July 7, 1998,  was filed  reporting on
      Item 5.  Other  Events,  regarding  a press  release  dated  July 7,  1998
      announcing the Company's  Halliburton  Energy  Services  business unit was
      awarded a contract to provide  zonal  isolation  and  pumping  services to
      Phillips Petroleum Norway.

      A Current  Report on Form 8-K dated July 9, 1998,  was filed  reporting on
      Item 5.  Other  Events,  regarding  a press  release  dated  July 9,  1998
      announcing  receipt of an Advance  Ruling  Certificate  from the  Canadian
      Bureau of  Competition  Policy  clearing  the  merger of the  Company  and
      Dresser.

      A Current Report on Form 8-K dated July 16, 1998,  was filed  reporting on
      Item 5. Other  Events,  regarding  a press  release  dated  July 16,  1998
      announcing declaration of the third quarter dividend.

      A Current Report on Form 8-K dated July 22, 1998,  was filed  reporting on
      Item 5. Other  Events,  regarding  a press  release  dated  July 22,  1998
      announcing 1998 second quarter earnings.


                                       18



                                   SIGNATURES


Pursuant  to the  requirements  of the  Securities  Exchange  Act of  1934,  the
Registrant  has duly  caused  this  report  to be  signed  on its  behalf by the
undersigned thereunto duly authorized.



                                            HALLIBURTON  COMPANY





Date  August 12, 1998                       By  /s/ Gary V. Morris
                                              -------------------------
                                                    Gary V. Morris
                                            Executive Vice President and
                                               Chief Financial Officer




Date  August 12, 1998                       By /s/ R. Charles Muchmore, Jr.
                                              ------------------------------
                                                   R. Charles Muchmore, Jr.
                                                Vice President and Controller
                                                (Principal Accounting Officer)


                                       19



Index to exhibits filed with this quarterly report.

Exhibit
Number         Description
- --------       --------------------

3(a)           Restated  Certificate of  Incorporation  of  Halliburton  Company
               filed with the Secretary of State of Delaware on July 23, 1998.

10(a)          Halliburton  Elective  Deferral  Plan,  as  amended  and restated
               effective January 1, 1998.

10(b)          Halliburton  Company  Senior  Executives'  Deferred  Compensation
               Plan, as amended and restated effective January 1, 1998.

27             Financial  data  schedule for the  six months ended June 30, 1998
               (included  only in the  copy of this  report filed electronically
               with the Commission).


                                       20