Exhibit 32.1

                    CERTIFICATION OF CHIEF EXECUTIVE OFFICER
            IN ACCORDANCE WITH SECTION 906 OF THE SARBANES-OXLEY ACT

         In connection with the quarterly report of Sharps Compliance Corp. (the
"Company") on Form 10-QSB for the three and six months ended December 31, 2004,
as filed with the Securities and Exchange Commission on the date hereof, I, Dr.
Burton J. Kunik, Chairman of the Board, Chief Executive Officer and President of
the Company, certify, pursuant to 18 U.S.C. ss.1350, as adopted pursuant to
ss.906 of the Sarbanes-Oxley Act of 2002, to the best of my knowledge that:

     (1)  The Form 10-QSB report for the three and six months ended December 31,
          2004, filed with the Securities and Exchange Commission on February
          10, 2005, 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 Form 10-QSB report for the three and
          six months ended December 31, 2004 fairly presents, in all material
          respects, the financial condition and results of operations of Sharps
          Compliance Corp.


By:  /s/ DR. BURTON J. KUNIK                         Date: February 9, 2005
   ---------------------------
Dr. Burton J. Kunik
Chairman of the Board,
Chief Executive Officer and President





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