POWER OF ATTORNEY


KNOW ALL BY THESE PRESENTS that the undersigned hereby constitutes and appoints
Frank J. Lanza and Julie Eastland of Harpoon Therapeutics, Inc., and each of
Laura Berezin, Marina Remennik and Chu Lee of Cooley LLP, signing individually,
the undersigned's true and lawful attorneys-in-fact and agents to:

1.	execute for and on behalf of the undersigned, in the undersigned's capacity
as an officer, director and/or more than 10% stockholder of Harpoon
Therapeutics, Inc. (the "Company"), Forms 3, 4 and 5 in accordance with Section
16(a) of the Securities Exchange Act of 1934, as amended and the rules
thereunder;

2.	do and perform any and all acts for and on behalf of the undersigned which
may be necessary or desirable to complete and execute any such Forms 3, 4 or 5,
complete and execute any amendment or amendments thereto, and timely file such
form with the U.S. Securities and Exchange Commission and any stock exchange or
similar authority; and

3.	take any other action of any type whatsoever in connection with the foregoing
which, in the opinion of such attorney in-fact, may be of benefit to, in the
best interest of, or legally required by, the undersigned, it being understood
that the documents executed by such attorney in-fact on behalf of the
undersigned pursuant to this Power of Attorney shall be in such form and shall
contain such terms and conditions as such attorney-in-fact may approve in such
attorney in-fact's discretion.

      The undersigned hereby grants to each such attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever requisite,
necessary, or proper to be done in the exercise of any of the rights and powers
herein granted, as fully to all intents and purposes as the undersigned might or
could do if personally present, with full power of substitution or revocation,
hereby ratifying and confirming all that such attorney-in-fact, or such
attorney-in-fact's substitute or substitutes, shall lawfully do or cause to be
done by virtue of this power of attorney and the rights and powers herein
granted.  The undersigned acknowledges that the foregoing attorneys-in-fact, in
serving in such capacity at the request of the undersigned, are not assuming,
nor is the Company assuming, any of the undersigned's responsibilities to comply
with Section 16 of the Securities Exchange Act of 1934, as amended.

      This Power of Attorney shall remain in full force and effect until the
earliest to occur of (a) the undersigned is no longer required to file Forms 3,
4 and 5 with respect to the undersigned's holdings of and transactions in
securities issued by the Company, (b) revocation by the undersigned in a signed
writing delivered to the foregoing attorneys-in-fact or (c) as to any
attorney-in-fact individually, until such attorney-in-fact is no longer employed
by the Company or Cooley LLP.

IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of this 22nd day of June 2023.

/s/ Jonathan Drachman
Jonathan Drachman, M.D.