EXHIBIT 31.1  CERTIFICATIONS

I, Peter K.
Stevenson, certify that:

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| | 1. | I have
  reviewed this Quarterly Report on Form 10-Q of Globix Corporation for the
  fiscal quarter ending June 30, 2006;                                                                                                                                                                                                                        
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| | 2. | Based on my
  knowledge, this Quarterly 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 Quarterly
  Report;         
| |    |                                                                                                                                                                                                                                                                                                                                                   |                                                                                                                                                                                                                                                                                                                                                                                                     
| | 3. | Based on my
  knowledge, the financial statements, and other financial information included
  in this Quarterly 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 Quarterly Report;                              
| |    |                                                                                                                                                                                                                                                                                                                                                   |                                                                                                                                                                                                                                                                                                                                                                                                     
| | 4. | The
  registrants other certifying officer(s) 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 (as defined in Exchange Act Rules 13a-15(f) and
  15d-15(f)) for the registrant and have:
| |    |                                                                                                                                                                                                                                                                                                                                                   |                                                                                                                                                                                                                                                                                                                                                                                                     
| |    | 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 Quarterly Report is being
  prepared;
| |    |                                                                                                                                                                                                                                                                                                                                                   |                                                                                                                                                                                                                                                                                                                                                                                                     
| |    | b.                                                                                                                                                                                                                                                                                                                                                | Designed
  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 Quarterly Report our conclusions about the effectiveness of
  the disclosure controls and procedures, as of the end of the period covered
  by this Quarterly Report based on such evaluation; and                                                                                     
| |    |                                                                                                                                                                                                                                                                                                                                                   |                                                                                                                                                                                                                                                                                                                                                                                                     
| |    | d.                                                                                                                                                                                                                                                                                                                                                | Disclosed in
  this Quarterly Report any change in the registrants internal control over
  financial reporting that occurred during the registrants fourth fiscal
  quarter that has materially affected, or is reasonably likely to materially
  affect, the registrants internal control over financial reporting; and                                                                         
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| | 5. | The
  registrants other certifying officer(s) 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 the registrants board of
  directors (or persons performing the equivalent functions):                                       
| |    |                                                                                                                                                                                                                                                                                                                                                   |                                                                                                                                                                                                                                                                                                                                                                                                     
| |    | 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.                                                                                                                                                                                                                    

|                     |  |                          
|-------------------- |  | -------------------------
|                     |  | Globix
  Corporation     
|                     |  |                          
|                    
|Date: August 8, 2006 |  |                          
|                    
|                     |  | /s/ Peter K.
  Stevenson 
|                     |  |                          
|                     |  | Peter K.
  Stevenson     
|                     |  | Chief
  Executive Officer

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