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Exhibit 99.1

Certification
Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002
(Subsections (a) and (b) of Section 1350, Chapter 63 of Title 18, United States Code)

        I, David M. Lederman, President and Chief Executive Officer of ABIOMED, Inc., a Delaware corporation (the "Company"), do hereby certify, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (subsections (a) and (b) of Section 1350, Chapter 63 of Title 18, United States Code) that, to the best of my knowledge and belief:

        (1)   The Annual Report on Form 10-K for the year ended March 31, 2003 (the "Form 10-K") of the Company 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 Form 10-K fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: June 6, 2003 /s/  DAVID M. LEDERMAN David M. Lederman
President and Chief Executive Officer

        A SIGNED ORIGINAL OF THIS WRITTEN STATEMENT REQUIRED BY SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002 HAS BEEN PROVIDED TO ABIOMED, INC. AND WILL BE RETAINED BY ABIOMED, INC. AND FURNISHED TO THE SECURITIES AND EXCHANGE COMMISSION OR ITS STAFF UPON REQUEST.

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Certification Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (Subsections (a) and (b) of Section 1350, Chapter 63 of Title 18, United States Code)