Exhibit 31.1





                                 CERTIFICATIONS

I, Peter K. Stevenson, certify that:

     1.   I have reviewed this quarterly report on Form 10-Q of Globix
          Corporation for the period ended June 30, 2002;

     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; and

     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.

                                        Globix Corporation


Date: September 8, 2003                 /s/ Peter K. Stevenson
                                        ----------------------------------------
                                        Peter K. Stevenson
                                        President and Chief Executive Officer