Exhibit 32.2

CERTIFICATION PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

(18 U.S.C. SECTION 1350)

In connection with the Annual Report of Flow International Corporation, a Washington corporation (the “Company”), on Form 10-K for the year ending April 30, 2004 as filed with the Securities and Exchange Commission (the “Report”), I, Stephen D. Reichenbach, Principal Financial Officer of the Company, certify, pursuant to § 906 of the Sarbanes-Oxley Act of 2002 (18 U.S.C. § 1350), that:

(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 result of operations of the Company.

/s/    STEPHEN D. REICHENBACH

Stephen D. Reichenbach

Principal Financial Officer

August 13, 2004