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 Annual Report on Form 10-K for the year ended December 31, 2007 (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,

Chief Financial Officer and Treasurer

Dated: February 27, 2008