**Exhibit 31.1**

 

**CERTIFICATION PURSUANT TO RULE 13A-14(a) OR 15D-14(a)**

**OF THE SECURITIES EXCHANGE ACT OF 1934,**

**AS ADOPTED PURSUANT TO**

**SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002**

 

# **I, Andrew P. Studdert, certifythat:**

 

# **1.  I have reviewed this quarterly report on Form10-Q of NES Rentals Holdings, Inc.;**

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# **2.  Based on my knowledge, this report does notcontain any untrue statement of a material fact or omit to state a materialfact necessary in order to make the statements made, in light of thecircumstances under which such statements were made, not misleading withrespect to the period covered by this report;**

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# **3.  Based on my knowledge, the financialstatements, and other financial information included in this report, fairlypresent in all material respects the financial condition, results of operationsand cash flows of the registrant as of, and for, the periods presented in thisreport;**

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# **4.  The registrant’s other certifying officer andI are responsible for establishing and maintaining disclosure controls andprocedures (as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) for theregistrant and have:**

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# **a)  Designed such disclosure controls andprocedures or caused such disclosure controls and procedures to be designedunder our supervision, to ensure that material information relating to theregistrant, including its consolidated subsidiaries, is made known to us byothers within those entities, particularly during the period in which thisreport is being prepared;**

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# **b)  Evaluated the effectiveness of the registrant’sdisclosure controls and procedures and presented in this report our conclusionsabout the effectiveness of the disclosure controls and procedures, as of theend of the period covered by this report based on such evaluation; and**

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# **c)  Disclosed in this report any change in theregistrant’s internal control over financial reporting that occurred during theregistrant’s most recent fiscal quarter (the registrant’s fourth fiscal quarterin the case of an annual report) that has materially affected, or is reasonablylikely to materially affect, the registrant’s internal control over financialreporting; and**

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# **5.  The registrant’s other certifying officer andI have disclosed, based on our most recent evaluation of internal controls overfinancial reporting, to the registrant’s auditors and the audit committee ofregistrant’s board of directors (or persons performing the equivalentfunction):**

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# **a)  All significant deficiencies and materialweaknesses in the design or operation of internal controls over financialreporting which are reasonably likely to adversely affect the registrant’sability to record, process, summarize and report financial information; and**

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# **b)  Any fraud, whether or not material, thatinvolves management or other employees who have a significant role in theregistrant’s internal controls over financial reporting.**

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| Date:  May 12, 2005               |
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|                                   |
| /s/  ANDREW P. STUDDERT                |   |
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| Andrew  P. Studdert                    |
| President  and Chief Executive Officer |