Exhibit 32.13
                                                                   -------------



      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  Quarterly  Report  on  Form  10-Q of  Dollar  Thrifty
Automotive  Group, Inc. (the "Company") for the period ended September 30, 2004,
as filed with the  Securities  and Exchange  Commission  on the date hereof (the
"Report"),  I, Gary L. Paxton, Chief Executive Officer of the Company,  certify,
pursuant  to  18  U.S.C.  ss.1350,  as  adopted  pursuant  to  ss.  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; 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/ Gary L. Paxton
                                        ------------------

                                        Gary L. Paxton
                                        Chief Executive Officer
                                        November 4, 2004









A signed  original of this written  statement  required by Section 906, or other
document authenticating,  acknowledging or otherwise adopting the signature that
appears in typed form within the  electronic  version of this written  statement
required by Section 906, has been provided to Dollar Thrifty  Automotive  Group,
Inc. and will be retained by Dollar Thrifty Automotive Group, Inc. and furnished
to the Securities and Exchange Commission or its staff upon request.