EXHIBIT 32.1



CERTIFICATIONS PURSUANT TO CHAPTER 63 OF TITLE 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 Parlux Fragrances, Inc. (the "Company")
on Form 10-K for the period ending March 31, 2004 as filed with the Securities
and Exchange Commission on the date hereof (the "Report"), I, Ilia Lekach, Chief
Executive Officer of the Company, certify, pursuant to Chapter 63 of Title 18
U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley
Act of 2002, that, to 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.


                                          By:    /s/ Ilia Lekach
                                                   -----------------------
                                                   Ilia Lekach
                                                   Chief Executive Officer
                                                   June 28, 2004


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 the written statement required by Section 906 has been
provided to Parlux Fragrances, Inc. and will be retained by Parlux Fragrances,
Inc. and furnished to the Securities and Exchange Commission or its staff upon
request.