EXHIBIT 32.1

CERTIFICATION

I, Ramon M. Ruiz-Comas, President and Chief Executive Officer of Triple-S
Management Corporation (the Corporation), certify, pursuant to Section 906 of
the Sarbanes-Oxley Act of 2002, 18 U.S.C. Section 1350, that:

1.    The Quarterly Report on Form 10-Q of the Corporation for the period ended
      June 30, 2005 (the Report) fully complies with the requirements of Section
      13(a) of the Securities and Exchange Act of 1934 (15 U.S.C. 78m) and;

2.    The information contained in the Report fairly presents, in all material
      respects, the financial condition and results of operations of the
      Corporation.

Date: August 12, 2005                       By: /s/ Ramon M. Ruiz-Comas
                                                --------------------------------
                                                Ramon M. Ruiz-Comas, CPA
                                                President and
                                                Chief Executive Officer