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 Annual Report on Form 10-K for the year ended December
            31, 2004, as filed with the Securities and Exchange Commission on
            March 31, 2005 (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: March 31, 2005                             By: /s/ Raymond C. Kubacki, Jr.
                                                    ---------------------------
                                                 Raymond C. Kubacki, Jr.
                                                 President and Chief Executive
                                                 Officer

This certification accompanies this Report pursuant to Section 906 of the
Sarbanes-Oxley Act of 2002 and shall not be deemed filed by the Company for
purposes of Section 18 of the Securities Exchange Act of 1934, as amended.