TransAtlantic Petroleum (TAT) 10-Q 2010 Q3 Quarterly 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

Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (subsections (a) and (b) of Section 1350, Chapter 63 of Title 18, United States Code), each of the undersigned officers of TransAtlantic Petroleum Ltd. (the “Company”), does hereby certify, to such officer’s knowledge, that:

The quarterly report on Form 10-Q for the quarter ended September 30, 2010 (the “Form 10-Q”) of the Company fully complies with the requirements of Section 13(a) or 15(d), as applicable, of the Securities Exchange Act of 1934 and the information contained in the Form 10-Q fairly presents, in all material respects, the financial condition and results of operations of the Company as of, and for, the periods presented in the Form 10-Q.

Date: November 15, 2010

/s/ Matthew McCann

Matthew McCann

Chief Executive Officer

/s/ Hilda Kouvelis

Hilda Kouvelis

Chief Financial Officer

The foregoing certification is being furnished as an exhibit to the Form 10-Q pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (subsections (a) and (b) of Section 1350, Chapter 63 of Title 18, United States Code) and, accordingly, is not being filed as part of the Form 10-Q for purposes of Section 18 of the Securities Exchange Act of 1934, as amended, and is not incorporated by reference into any filing of the Company, whether made before or after the date hereof, regardless of any general incorporation language in such filing.