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
        December 31, 2005;                                                                                                                                                                                                                              
| |    |                                                                                                                                                                                                                                                                                                                                                                        
| | 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                                                                             
| |    |                                                                                                                                                                                                                                                                                                                                                                         |                                                                                                                                                                                                                                                                                                                                                                                                                                 
| | 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:
  February 14, 2006 |                           | 
|                          | /s/ Peter K.
  Stevenson  | 
|                          |                           | 
|                          | Peter K.
  Stevenson      | 
|                          | Chief
  Executive Officer | 

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