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, 2004 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: September 27, 2004

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

      The foregoing certification is being furnished solely pursuant to Section
906 of the Sarbanes-Oxley Act of 2002 (subsections (a) and (b) of Section 1350,
Chapter 63 of Title 18, United States Code) and is not being filed as part of
the Form 10-K or as a separate disclosure document.

      A signed original of this written statement required by Section 906 has
been provided to the Company and will be retained by the Company and furnished
to the Securities and Exchange Commission or its staff upon request.

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