Tuesday Morning (TUEMQ) 10-Q 2004 Q4 Quarterly report

EXHIBIT 32.1

CERTIFICATIONS BY THE CHIEF EXECUTIVE OFFICER AND CHIEF FINANCIAL OFFICER PURSUANT TO 18
U.S.C. §1350

I, Kathleen Mason, the Chief Executive Officer of Tuesday Morning Corporation, hereby certify that:

1.The quarterly report of Tuesday Morning Corporation for the period ended June 30, 2004 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 above-mentioned report fairly presents, in all material respects, the financial condition and results of operations of Tuesday Morning Corporation.

Date: July 30, 2004	By:	/s/  Kathleen Mason
		Chief Executive Officer

I, Loren K. Jensen, the Chief Financial Officer of Tuesday Morning Corporation, hereby certify that:

1.The quarterly report of Tuesday Morning Corporation for the period ended June 30, 2004 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 above-mentioned report fairly presents, in all material respects, the financial condition and results of operations of Tuesday Morning Corporation.

Date: July 30, 2004	By:	/s/  Loren K. Jensen
		Chief Financial Officer