POWER OF ATTORNEY
       Know all by these presents, that the undersigned hereby constitutes
and appoints each of BRIAN WONG, RODNEY YOUNG and MICHAEL TENTA, 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 or beneficial owner of more than 10% of a
registered class of securities of RAPT THERAPEUTICS, INC. (the "Company"),
Forms 3, 4 and 5 (including any amendments thereto) in accordance with
Section 16(a) of the Securities Exchange Act of 1934, as amended (the
"Exchange Act") and the rules thereunder and a Form ID, Uniform Application
for Access Codes to File on EDGAR;
(2)	do and perform any and all acts for and on behalf of the undersigned
that may be necessary or desirable to execute such Forms 3, 4 or 5 or Form
ID (including any amendments thereto) and timely file such forms with the
United States Securities and Exchange Commission and any stock exchange or
similar authority; and
(3)	take any other action of any nature whatsoever in connection with the
foregoing which, in the opinion of such attorney-in-fact, may be of
benefit, 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 Exchange Act.
       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 March 11, 2021.

/s/ Peter Svennilson
Peter Svennilson