EXHIBIT 32.1

Certification of CEO 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 SangStat Medical Corporation (the “Company”) for the quarterly period ended June 30, 2003 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), Richard D. Murdock, as Chairman of the Board of Directors, President and Chief Executive Officer of the Company, certifies, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that, to the best of his 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.

/s/ Richard D. Murdock

Richard D. Murdock

Chairman of the Board of Directors, President and Chief Executive Officer

Date: August 14, 2003

This certification accompanies the Report pursuant to § 906 of the Sarbanes-Oxley Act of 2002 and shall not, except to the extent required by the Sarbanes-Oxley Act of 2002, be deemed filed by the Company for purposes of § 18 of the Securities Exchange Act of 1934, as amended.