Exhibit 32

Certification Pursuant to Section 13 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 Quarterly Report on Form 10-Q for the quarter ended September 30, 2005 (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/ JOSEPH H. PYNE  

Joseph H. Pyne 

President and Chief Executive Officer 

/s/ NORMAN W. NOLEN  

Norman W. Nolen 

Executive Vice President, Treasurer and Chief Financial Officer 

Dated: November 8, 2005

40