POWER OF ATTORNEY

     The undersigned hereby constitutes and appoints each of David W.
Grzebinski, Raj Kumar and Ronald A. Dragg, each with the authority to act alone,
as the undersigned's true and lawful attorney-in-fact to:

     1.     execute on behalf of the undersigned in the undersigned's capacity
            as an officer and/or director of Kirby Corporation (the "Company"),
            Forms 3, 4 and 5 in accordance with Section 16(a) of the Securities
            Exchange Act of 1934 and the rules thereunder;

     2.     take any and all actions on behalf of the undersigned that may be
            necessary or desirable to complete and execute any such Form 3, 4 or
            5, complete and execute any amendment to such form and timely file
            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 kind in connection with the foregoing
            that, in the opinion of such attorney-in-fact, may be of benefit to,
            in the best interest of, or legally required of, the undersigned,
            with the documents executed by such attorney-in-fact on behalf of
            the undersigned pursuant to this Power of Attorney to be in such
            form and contain such terms and conditions as such attorney-in-fact
            may approve in his or her discretion.

     The undersigned grants to each such attorney-in-fact full power and
authority to take such actions as may be necessary or proper in the exercise of
the authority herein granted, as fully as the undersigned could if acting
personally, 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 pursuant to this Power of
Attorney.  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.

     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
attorneys-in-fact. The undersigned hereby revokes any previous powers of
attorney granted by the undersigned relating to the same subject matter as this
Power of Attorney.

DATED October 9, 2022

                            /s/ Richard R. Stewart
                            ---------------------------------------
                            Signature

			    Richard R. Stewart