EXHIBIT 32.1

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

Each of the undersigned hereby certifies, in his capacity as an officer of Adept Technology, Inc. (the “Company”), for purposes of 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that based on his knowledge:

• the annual report of the Company on Form 10-K for the fiscal year ended June 30, 2004 fully complies with the requirements of Section 13(a) of the Securities Exchange Act of 1934; and

• the information contained in such report fairly presents, in all material respects, the financial condition and results of operation of the Company.

Dated: September 27, 2004

/S/    ROBERT H. BUCHER        

Robert H. Bucher

Chairman of the Board of Directors and

Chief Executive Officer of

Adept Technology, Inc.

/S/    ROBERT R. STRICKLAND        

Robert R. Strickland

Vice President of Finance and

Chief Financial Officer of

Adept Technology, Inc.