EXHIBIT 32.1

     Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (18 U.S.C.
Section 1350, as adopted), Henry J. Fuchs, M.D., the Chief Executive Officer of
IntraBiotics Pharmaceuticals, Inc. (the "Company"), and Eric H. Bjerkholt the
Chief Financial Officer of the Company, each hereby certifies that, to his
knowledge:

     1.   The Company's Quarterly Report on Form 10-Q for the period ended June
30, 2003, to which this Certification is attached as Exhibit 32.1 (the "Periodic
Report"), fully complies with the requirements of Section 13(a) or Section 15(d)
of the Securities Exchange Act of 1934, as amended; and

     2.   The information contained in the Periodic Report fairly presents, in
all material respects, the financial condition of the Company at the end of the
periods covered by the Periodic Report and the results of operations of the
Company for the periods covered by the Periodic Report.

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

     In Witness Whereof, the undersigned have set their hands hereto as of the
13th day of August, 2003.

/s/ Henry J. Fuchs                              /s/ Eric H. Bjerkholt
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Henry J. Fuchs, M.D.                            Eric H. Bjerkholt
Chief Executive Officer                         Chief Financial Officer