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 Biopure Corporation (the “Company”) for the fiscal quarter ended January 31, 2009 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), the undersigned, Zafiris G. Zafirelis, hereby certifies, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that to my knowledge:

(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: June 22, 2009	By:	/s/ Zafiris G. Zafirelis
		Zafiris G. Zafirelis
		President and Chief Executive Officer