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

In connection with the Annual Report of Napco Security Systems, Inc. (the
"Company") on Form 10-K for the period ending June 30, 2003 as filed with the
Securities and Exchange Commission on the date hereof (the "Report"), I, Richard
Soloway, Chief Executive Officer of the Company, certify to the best of my
knowledge, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section
906 of the Sarbanes-Oxley Act of 2002, 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.

Date: February 5, 2004

                                               /s/ Richard Soloway
                                               ---------------------------------
                                               Richard Soloway
                                               Chief Executive Officer
                                               (Principal Executive Officer)

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