Exhibit 23.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We hereby consent to the incorporation by reference in the Registration Statement on Form S-8 (No. 333-123676) of ABIOMED, Inc. of our report dated June 2, 2005 relating to the financial statements of the ABIOMED Retirement Savings Plan which appear in this Form 11-K.

/s/ Forman Conklin Doherty & Farrar, P.C.

Forman Conklin Doherty & Farrar, P.C.

Danvers, Massachusetts

August 1, 2005