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

In connection with the Quarterly Report on Form 10-Q of Ace Cash Express, Inc. (the “Company”) for the quarter ended September 30, 2004, as filed with the Securities and Exchange Commission (the “Report”), I, Jay B. Shipowitz, President and Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. § 1350, as adopted pursuant to Section 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.

Date: November 5, 2004	/s/ JAY B. SHIPOWITZ
	Jay B. Shipowitz
	President and Chief Executive Officer