Superior Energy Services 10-Q 2012 Q3 Quarterly report

EXHIBIT 32.1

CERTIFICATION PURSUANT TO

SECTION 1350 OF TITLE 18 OF THE U.S. CODE

I, David D. Dunlap, President and Chief Executive Officer of Superior Energy Services, Inc. (the “Company”), certify, pursuant to Section 1350 of Title 18 of the U.S. Code, adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (“Section 906”), that:

1. the quarterly report on Form 10-Q of the Company for the quarter ended September 30, 2012 (the “Report”), as filed with the Securities and Exchange Commission on the date hereof, 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.

This certificate is being furnished solely for purposes of Section 906 and is not being filed as part of the Report or as a separate disclosure document.

Date: November 8, 2012

/s/ David D. Dunlap

David D. Dunlap

President and Chief Executive Officer

Superior Energy Services, Inc.

A signed original of this written statement required by Section 906 has been provided to the Company and will be retained by the Company and furnished to the Securities and Exchange Commission or its staff upon request.