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 accompanying Annual Report of Targeted Genetics
Corporation on Form 10-K for the period ended December 31, 2003 as filed with
the Securities and Exchange Commission (the "Report"), I, H. Stewart Parker,
President and Chief Executive Officer of the Company, certify, pursuant to 18
U.S.C. Section 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.

March 10, 2004                                    /s/ H. Stewart Parker
- -------------------------                         -----------------------------
Date                                              H. Stewart Parker
                                                  President and
                                                  Chief Executive Officer