EXHIBIT 32.2

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with this annual report on Form 10-K of Electro Scientific Industries, Inc. (the “Company”) for the annual period ended May 29, 2004 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, J. Michael Dodson, Senior Vice President of Administration, Chief Financial Officer and Secretary of the Company, certify, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that to the best of my knowledge:

(1)The Report 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 Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

/s/ J. Michael Dodson

J. Michael Dodson

Senior Vice President of Administration,

Chief Financial Officer and Secretary

July 27, 2004

This certification is made solely for the purpose of 18 U.S.C. Section 1350, and not for any other purpose.  A signed original of this written statement required by Section 906 has been provided to Electro Scientific Industries, Inc. and will be retained by Electro Scientific Industries, Inc. and furnished to the Securities and Exchange Commission or its staff upon request.