Exhibit 32.1

CERTIFICATION PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

I, Manuel D. Medina, hereby certify, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that:

      (1) The accompanying quarterly report on Form 10-Q for the fiscal quarter ended September 30, 2005 fully complies with the requirements of Section 13(a) or Section 15(d) of the Securities Exchange Act of 1934, as amended; and

      (2) The information contained in such report fairly presents, in all material respects, the financial condition and results of operations of Terremark Worldwide, Inc.

/s/ MANUEL D. MEDINA

Manuel D. Medina

Chairman of the Board

President and Chief Executive Officer

(Chief Executive Officer)

Date: November 9, 2005