**Exhibit 31.1**

** **

**CERTIFICATIONS**

 

I, WILLIAM J. MURPHY, certify that:

 

1.  I have reviewed thisquarterly report on Form 10-Q of COMPUTER HORIZONS CORP.;

 

2.  Based on my knowledge, thisquarterly report does not contain any untrue statement of a material fact oromit to state a material fact necessary to make the statements made, in lightof the circumstances under which such statements were made, not misleading withrespect to the period covered by this quarterly report;

 

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

 

4.  The registrant’s othercertifying officers and I are responsible for establishing and maintainingdisclosure controls and procedures (as defined in Exchange Act Rules 13a-14 and15d-14) for the registrant and have:

 

(a)  designed such disclosurecontrols and procedures or caused such disclosure controls and procedures to bedesigned under our supervision, to ensure that material information relating tothe registrant, including its consolidated subsidiaries, is made known to us byothers within those entities, particularly during the period in which thisquarterly report is being prepared;

 

(b)  designed such internalcontrol over financial reporting, or caused such internal control overfinancial reporting to be designed under our supervision, to provide reasonableassurance regarding the reliability of financial reporting and the preparationof financial statements for external purposes in accordance with generallyaccepted accounting principles;

 

(c)  evaluated the effectivenessof the registrant’s disclosure controls and procedures and presented in thisreport our conclusions about the effectiveness of the disclosure controlsprocedures, as of the end of the period covered by this report based on suchevaluation and;

 

(d) disclosed in this report any change in the registrant’s internalcontrol over financial reporting that occurred during the registrant’s mostrecent fiscal quarter (the registrant’s fourth fiscal quarter in the case of anannual report) that has materially affected, or is reasonably likely tomaterially affect, the registrant’s internal control over financial reporting;

 

5.  The registrant’s othercertifying officers and I have disclosed, based on our most recent evaluation,to the registrant’s auditors and the audit committee of registrant’s board ofdirectors (or persons performing the equivalent functions):

 

(a)  all significant deficienciesin the design or operation of internal control which could adversely affect theregistrant’s ability to record, process, summarize and report financial dataand have identified for the registrant’s auditors any material weaknesses ininternal controls; and

 

(b)  any fraud, whether or notmaterial, that involves management or other employees who have a significantrole in the registrant’s internal control over financial reporting.

 
| Date:                   | August 30, 2004 |   |
|-------------------------|-----------------|--------|
|                    |
| /s/ William J. Murphy   |            |
| WILLIAM J. MURPHY       |
| Chief Executive Officer |

 

----