EXHIBIT 32.1

Certification Pursuant to

18 U.S.C. Section 1350, As Adopted Pursuant To

Section 906 of the Sarbanes-Oxley Act of 2002

Pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, and Rule 13a-14(b) promulgated under the Securities Exchange Act of 1934, as amended (the “Exchange Act”), each of the undersigned, Randall D. Stilley, President and Chief Executive Officer of Seahawk Drilling, Inc., a Delaware corporation (the “Company”), and James R. Easter, Senior Vice President and Chief Financial Officer of the Company, hereby certifies that, to his knowledge:

(1) the Company’s Quarterly Report on Form 10-Q for the quarter ended September 30, 2010 (the “Report”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

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

Dated: November 9, 2010

The foregoing certification is being furnished solely pursuant to 18 U.S.C. Section 1350 and Rule 13a-14(b) promulgated under the Exchange Act and is not being filed as part of the Report or as a separate disclosure document.