POWER OF ATTORNEY

        Know all by these presents, that the undersigned hereby constitutes and
appoints Stephanie D. Miller, signing singly, the undersigned's true and lawful
attorney-in-fact to:

        (1)     execute for and on behalf of the undersigned, in the
        undersigned's capacity as an officer and/or director of Baxalta
        Incorporated, or any of its direct or indirect subsidiaries ("Baxalta")
        Forms ID, Forms 3, 4 and 5 in accordance with Section 16(a) of the
        Securities Exchange Act of 1934 and the rules thereunder and Form 144
        under Rule 144 under the Securities Act of 1933;

        (2)     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 ID, 3, 4, 5, or 144 and complete and execute any amendment
        or amendments thereto, and timely file any such form with the United
        States Securities and Exchange Commission and any stock exchange or
        similar authority; and

        (3)     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 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 or have caused 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 Baxalta assuming, any of the
undersigned's responsibilities to comply with Section 16 of the Securities
Exchange Act of 1934 and Rule 144 of the Securities Act of 1933.

        This Power of Attorney shall supercede any power of attorney previously
granted by the undersigned with respect to the subject matter herein and shall
remain in full force and effect until the undersigned is no longer required to
file Forms 3, 4, 5 and 144 with respect to the undersigned's holdings of, and
transactions in, securities issued by Baxalta, unless earlier revoked by the
undersigned in a signed document delivered to Baxalta.

        IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of this 21st day of May, 2015.

                                        /s/ Anne-Marie Law
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                                        Anne-Marie Law