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 Quarterly Report of Research Frontiers
Incorporated (the "Company") on Form 10-Q for the quarter ended
September 30, 2004 as filed with the Securities and Exchange
Commission on the date hereof (the "Report"), I, Robert L. Saxe,
Chairman of the Board and Chief  Executive Officer of the Company,
certify,  pursuant to 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.


/s/ Robert L. Saxe
    Robert L. Saxe
    Chairman of the Board
    and Chief Executive Officer
    November 8, 2004