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Exhibit 31.1

CERTIFICATION

I, Manuel D. Medina, certify that:

1. I have reviewed this annual report on
Form 10-K of Terremark Worldwide, Inc. (the
Registrant);

2. Based on my knowledge, this report does
not contain any untrue statement of a material fact or omit to
state a material fact necessary to make the statements made, in
light of the circumstances under which such statements were
made, not misleading with respect to the period covered by this
report;

3. Based on my knowledge, the financial
statements, and other financial information included in this
report, fairly present in all material respects the financial
condition, results of operations and cash flows of the
registrant as of, and for, the periods presented in this report;

4. The registrants other certifying
officer and I are responsible for establishing and maintaining
disclosure controls and procedures (as defined in Exchange Act
Rules 13a-15(e) and 15d-15(e)) and internal control over
financial reporting for the registrant and have:



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| | (a) designed such disclosure controls and
    procedures or caused such disclosure controls and procedures to
    be designed under our supervision, to ensure that material
    information relating to the registrant, including its
    consolidated subsidiaries, is made known to us by others within
    those entities, particularly during the period in which this
    report is being prepared;
|
| | (b) Designed such internal control over
    financial reporting, or caused such internal control over
    financial reporting to be designed under our supervision, to
    provide reasonable assurance regarding the reliability of
    financial reporting and the preparation of financial statements
    for external purposes in accordance with generally accepted
    accounting principles;      
|
| | (c) evaluated the effectiveness of the
    registrants disclosure controls and procedures and
    presented in this report our conclusions about the effectiveness
    of the disclosure controls and procedures, as of the end of the
    period covered by this report based on such evaluation;                                                                                                      
|
| | (d) disclosed in this report any change in
    the registrants internal control over financial reporting
    that occurred during the registrants most recent fiscal
    quarter that has materially affected, or is reasonably likely to
    materially affect, the registrants internal control over
    financial reporting; and                                                                   

5. The registrants other certifying
officer and I have disclosed, based on our most recent
evaluation of internal control over financial reporting, to the
registrants auditors and the audit committee of
Registrants board of directors:



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| | (a) all significant deficiencies and
    material weaknesses in the design or operation of internal
    control over financial reporting which are reasonably likely to
    adversely affect the registrants ability to record,
    process, summarize and report financial information; and
|
| | (b) any fraud, whether or not material, that
    involves management or other employees who have a significant
    role in the Registrants internal control over financial
    reporting.                                                                                                   



| |                                                    
| | ---------------------------------------------------
| | /s/MANUEL D. MEDINA                                
| |                                                    
| | Manuel D. Medina                                   
| | Chairman, President and Chief Executive
    Officer

Date: June 14, 2004