LIMITED POWER OF ATTORNEY
                      FOR SECTION 16 REPORTING OBLIGATIONS

	Know all by these presents, that the undersigned hereby makes, constitutes
and appoints each of Adelene Q. Perkins, Lawrence E. Bloch, and Seth A. Tasker,
signing singly and each acting individually, as the undersigned's true and
lawful attorney-in-fact with full power of authority as hereinafter described
to:

	1.	execute for and on behalf of the undersigned, in the undersigned
capacity as an officer and/or director of Infinity Pharmaceuticals, 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 and the rules
thereunder (the "Exchange Act");

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

	3.	seek or obtain, as the undersigned representative and on the
undersigned's behalf, information regarding transactions in the Company's
securities from any third party, including brokers, employee benefit plan
administrators and trustees, and the undersigned hereby authorizes any such
person to release any such information to such attorney-in-fact and approves and
ratifies any such release of information; and

	4.	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 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
relieving, nor is the Company assuming nor relieving, any of the undersigned's
responsibilities to comply with Section 16 of the Exchange Act.  The undersigned
acknowledges that neither the Company nor the foregoing attorneys-in- fact
assume (i) any liability for the undersigned's responsibility to comply with the
requirements of the Exchange Act, (ii) any liability of the undersigned for any
failure to comply with such requirements, or (iii) any obligation or liability
of the undersigned for profit disgorgement under Section 16(b) of the Exchange
Act.


	This Power of Attorney shall remain in full force and effect until 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,
unless earlier revoked by the undersigned in a signed writing delivered to the
foregoing attorneys-in-fact.

	IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of _March 5_, 2018.


                                            /s/ David Beier
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                                            Signature


                                            David Beier
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                                            Print Name