EXHIBIT 24

                               POWER OF ATTORNEY

       With respect to holdings of and transactions in securities issued by
Galera Therapeutics, Inc. (the "Company"), the undersigned hereby constitutes
and appoints the individuals named on Schedule A attached hereto and as may be
amended from time to time, or any of them signing singly, with full power of
substitution and resubstitution, to act 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  United States  Securities and  Exchange
            Commission (the "SEC") a Form ID, including amendments thereto,  and
            any  other  documents  necessary  or  appropriate  to  obtain and/or
            regenerate  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, Forms 3, 4, and 5 in
            accordance with Section 16 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
            which may be necessary or desirable to complete and execute any such
            Form 3, 4,  or 5, complete  and execute any  amendment or amendments
            thereto,  and timely  file such  form with  the SEC  and any  stock
            exchange or similar authority; 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 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 and resubstitution or revocation, hereby ratifying and confirming
all that such attorney-in-fact, or such attorneys-in-fact 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
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 this 29th day of October, 2019.


                         Signature:       /s/ Stephen Ross
                                          ----------------
                         Print Name:      Stephen Ross


                                  Schedule A
                                  ----------

 Individuals Appointed as Attorney-in-Fact with Full Power of Substitution and
                                Resubstitution

J. Mel Sorensen
Christopher Degnan