EXHIBIT 1

AGREEMENT

                In accordance with Rule 13d-1(k)(1) under the Securities Exchange Act of 1934, as amended, the undersigned hereby agree that this Statement on Schedule 13D relating to the Common Stock, par value $.001 per share, of IntraBiotics Pharmaceuticals, Inc., and such other amendments as may be filed by them hereafter, are being filed with the Securities and Exchange Commission on behalf of each of them.

Dated: May 20, 2004

By:	/s/ Julian C. Baker
	Julian C. Baker

By:	/s/ Felix J. Baker
	Felix J. Baker

By:	/s/ Andrew H. Tisch
	Andrew H. Tisch

By:	/s/ Daniel R. Tisch
	Daniel R. Tisch

By:	/s/ James S. Tisch
	James S. Tisch

By:	/s/ Thomas J. Tisch
	Thomas J. Tisch

Page 11 of 11 Pages