EXHIBIT 32

                            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 of Aastrom Biosciences, Inc. (the
"Company") on Form 10-Q for the quarter ended December 31, 2004, as filed with
the Securities and Exchange Commission on the date hereof (the "Report"), I, R.
Douglas Armstrong, Chief Executive Officer and Chairman 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 ("Section 906"), that:

      (1)   The Report fully complies with the requirements of section 13(a) of
the Securities Exchange Act of 1934 (15 U.S.C. 78m); and

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

February 8, 2005

/s/ R. Douglas Armstrong
------------------------
R. Douglas Armstrong, Ph.D.
Chief Executive Officer and Chairman
(Principal Executive Officer)

                                       36


                            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 of Aastrom Biosciences, Inc. (the
"Company") on Form 10-Q for the quarter ended December 31, 2004, as filed with
the Securities and Exchange Commission on the date hereof (the "Report"), I,
Alan M. Wright, Senior Vice President Administrative and Financial Operations
and Chief Financial 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 ("Section 906"), that:

      (1)   The Report fully complies with the requirements of section 13(a) of
the Securities Exchange Act of 1934 (15 U.S.C. 78m); and

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

February 8, 2005

/s/ Alan M. Wright
------------------
Alan M. Wright
Sr. Vice President Administrative & Financial
Operations, Chief Financial Officer
(Principal Financial and Accounting Officer)