Exhibit 32.1

                                  Certification
            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)

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  ATA  Holdings  Corp.,   formerly  Amtran  Inc.  (the
"Company"), does hereby certify that:

The Quarterly  Report of Form 10-Q for the quarter ended September 30, 2004 (the
"Form 10-Q") of the Company  fully  complies  with the  requirements  of section
13(a) or 15(d) of the Securities Exchange Act of 1934 and information  contained
in the Form 10-Q  fairly  presents,  in all  material  respects,  the  financial
condition and results of operations of the Company.


Dated:   November 22, 2004                  by /s/ J. George Mikelsons
                                            ---------------------------
                                            J. George Mikelsons
                                            Chairman and Chief Executive Officer



Dated:   November 22, 2004                  by /s/ David M. Wing
                                            ---------------------------
                                            David M. Wing
                                            Executive Vice President and
                                            Chief Financial Officer