Exhibit 32.1

CERTIFICATION OF PERIODIC REPORT PURSUANT TO SECTION 906

OF SARBANES-OXLEY ACT OF 2002

I, Daniel E. Berce, do hereby certify, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C. Section 1350, that:

(1) The Annual Report on Form 10-K of General Motors Financial Company, Inc. (the “Company”) for the fiscal year ended December 31, 2011 (the “Report”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934 (15 U.S.C. 78m or 78o(d)); 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: February 27, 2012

/s/ Daniel E. Berce

Daniel E. Berce

President and Chief Executive Officer

CERTIFICATION OF PERIODIC REPORT PURSUANT TO SECTION 906

OF SARBANES-OXLEY ACT OF 2002

I, Chris A. Choate, do hereby certify, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C. Section 1350, that:

(1) The Annual Report on Form 10-K of General Motors Financial Company, Inc. (the “Company”) for the fiscal year ended December 31, 2011 (the “Report”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934 (15 U.S.C. 78m or 78o(d)); 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: February 27, 2012

/s/ Chris A. Choate

Chris A. Choate

Executive Vice President, Chief

Financial Officer and Treasurer

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