Equus Total Return (EQS) 10-Q 2004 Q3 Quarterly report

EXHIBIT 32.1

CERTIFICATION PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

(18 U.S.C. SECTION 1350)

In connection with the accompanying Quarterly Report of Equus II Incorporated (the “Company”) on Form 10-Q for the period ended September 30, 2004 (the “Report”), I, Sam P. Douglass, Chairman and Chief Executive Officer of the Company, hereby certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

(1) To my knowledge, the Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934 (15 U.S.C. 78m or 78o(d)); and

(2) The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Dated: November 15, 2004	/s/ Sam P. Douglass
	Sam P. Douglass
	Chairman
	Chief Executive Officer