Exhibit 32.1

                            CERTIFICATION PURSUANT TO
                               U.S.C. SECTION 1350
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


I, Raymond C. Kubacki, Jr., President and Chief Executive Officer of
Psychemedics Corporation (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:

         (1)      The Company's Quarterly Report on Form 10-Q for the quarter
                  ended September 30, 2003, as filed with the Securities and
                  Exchange Commission on November 5, 2003 (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
                  operation of the Company.

Date: November 5, 2003                 By: /s/ Raymond C. Kubacki, Jr.
                                           ------------------------------------
                                       Raymond C. Kubacki, Jr.
                                       President and Chief Executive Officer

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