POWER OF ATTORNEY

(For Executing Form ID and Forms 3, 4 and 5)

	Know all by these presents, that the undersigned hereby constitutes and
appoints Mark R. Busch, of K&L Gates LLP, and Colin Sandercock, Senior Vice
President, General Counsel and Secretary of  Cue Biopharma, Inc. (the
"Company"), signing individually, the undersigned's true and lawful attorneys in
fact and agents to:

	(1)	Prepare, execute in the undersigned's name and on the undersigned's behalf,
and submit to the Securities and Exchange Commission (the "SEC") a Form ID,
Uniform Application for Access Codes to File on EDGAR, including amendments
thereto, and any other documents necessary or appropriate to obtain codes and
passwords enabling the undersigned to make electronic filings with the SEC of
reports required by Section 16(a) of the Securities Exchange Act of 1934, as
amended (the "Exchange Act"), or any rule or regulation thereunder;

	(2)	Prepare, execute in the undersigned's name and on the undersigned's behalf,
and submit to the SEC Forms 3, 4 and 5 (including amendments thereto and joint
filing agreements in connection therewith) in accordance with Section 16(a) of
the Exchange Act and the rules thereunder in the undersigned's capacity as an
officer, director or beneficial owner of more than 10% of a registered class of
securities of the Company;

	(3)	Do and perform any and all acts for and on behalf of the undersigned that
may be necessary or desirable to prepare and execute any such Form 3, 4 or 5
(including amendments thereto and joint filing agreements in connection
therewith) and file such forms with the SEC and any stock exchange,
self-regulatory association or any similar authority; and

	(4)	Take any other action of any type whatsoever in connection with the
foregoing that, in the opinion of such attorney-in-fact, may be of benefit to,
in the best interest of, or legally required of the undersigned, it being
understood that the documents executed by the 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 the attorney-in-fact may approve in the
attorney-in-fact's discretion.

	The undersigned hereby grants to 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 attorney-in-fact, and their
substitutes, 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 Company and the foregoing attorneys in fact or (c) as to any
attorney-in-fact individually, until such attorney-in-fact is no longer employed
by K&L Gates LLP or the Company, as applicable.

	IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of the date written below.

Date:	July 30, 2018


By:	/s/ Frank Morich
Name:	Frank Morich