POWER OF ATTORNEY

    The undersigned hereby appoints each of Dolly A. Vance and Dean Schorno,
signing individually, the undersigned's true and lawful attorneys-in-fact and
agents to:

    (1)  execute for and on behalf of the undersigned, an officer, director
or holder of 10% or more of a registered class of securities of Rigel
Pharmaceuticals, Inc. (the "Company"), Forms 3,4, and 5 in accordance with
Section 16(a) of the Securities Exchange Act of 1934, as amended (the
"Exchange Act") and the rules thereunder;

    (2)  do and perform any and all acts for an on behalf of the undersigned
that may be necessary or desirable to complete and execute such Form 3,4 or 5,
complete and execute any amendment or amendments thereto, and timely file such
forms or amendments 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 shall no longer be
employed by the Company.

    IN  WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of this 4th day of November, 2019.

                                                     /s/ Wolfgang Dummer
                                                     ---------------------------
                                                     Wolfgang Dummer, MD, PhD