Endeavour International 10-K 2004 FY Annual report

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

     In connection with the Annual Report of Endeavour International Corporation (the “Company”) on Form 10-K for the annual period ended December 31, 2004 (the “Report”), as filed with the Securities and Exchange Commission on the date hereof, I, William L. Transier, Co-Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. §1350, as adopted pursuant to §906 of the Sarbanes-Oxley Act of 2002, 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/ William L. Transier  

William L. Transier 

Co-Chief Executive Officer 

March 11, 2005

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