EXHIBIT 32

Certification Pursuant to Section 18 U.S.C. Section 1350

(As adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002)

In connection with the filing of the Annual Report on Form 10-K for the year ended December 31, 2023 (the “Report”) by Kirby Corporation (the “Company”), each of the undersigned hereby certifies that:

1. The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

	/s/ DAVID W. GRZEBINSKI
	David W. Grzebinski
	President and Chief Executive Officer
	/s/ RAJ KUMAR
	Raj Kumar
	Executive Vice President and
	Chief Financial Officer
Dated: February 20, 2024