Exhibit 32.1

CERTIFICATION OF
CHIEF EXECUTIVE OFFICER
OF GROUP 1 AUTOMOTIVE, INC.
PURSUANT TO 18 U.S.C. § 1350
AS ADOPTED PURSUANT TO SECTION 906 OF THE
SARBANES-OXLEY ACT OF 2002

     In connection with the Quarterly Report on Form 10-Q for the period ended June 30, 2011 filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Earl J. Hesterberg, Chief Executive Officer of Group 1 Automotive, Inc. (the “Company”), hereby certify 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/ Earl J. Hesterberg  

Earl J. Hesterberg 

Chief Executive Officer 

Date: July 27, 2011