EX-24 2 attachment1.htm EX-24 DOCUMENT
                           LIMITED POWER OF ATTORNEY

     The undersigned hereby constitutes and appoints Andrew Gengos and David
Gaiero, and each of them individually, with full power of substitution, as the
undersigned's true and lawful attorney-in-fact to:

     (1)     prepare, execute in the undersigned's name and on the undersigned's
             behalf, and submit to the U.S. Securities and Exchange Commission
             (the "SEC") a Form ID, 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, or any rule or regulation of the SEC;

     (2)     execute for and on behalf of the undersigned, in the undersigned's
             capacity as officer and/or director of Cyteir Therapeutics, Inc.
             (the "Company"), Forms 3, 4, 5 and any Schedules 13D or 13G in
             accordance with Section 16(a) of the Securities Exchange Act of
             1934, as amended, and the rules thereunder;

     (3)     do and perform any and all acts for and on behalf of the
             undersigned that may be necessary or desirable to complete and
             execute any such Form 3, 4, or 5 or Schedule 13D or 13G, complete
             and execute any amendment or amendments thereto, and timely file
             such form with the SEC and any stock exchange or similar authority;

     (4)     take any other action of any type whatsoever in connection with the
             foregoing that, in the opinion of each 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
             each 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 each such attorney-in-fact may approve in
             each 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 each such attorney-in-fact, or each
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 each foregoing attorney-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
undersigned is no longer required to file Forms 3, 4, 5, and any Schedules 13D
or 13G 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 each foregoing attorney-in-fact.

                  [Remainder of page intentionally left blank]

     IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of this 4th day of February, 2022.

                                             /s/ John Thero
                                             Name: John Thero