**EXHIBIT 31.1**

**Certification ofChief Executive Officer Pursuant toSecurities Exchange Act Rules 13a-14 and 15d-14,As Adopted Pursuant toSection 302 of the Sarbanes-Oxley Act of 2002**

I, Keith L. Barnes,certify that:

1.                I have reviewedthis annual report on Form 10-K of Verigy Ltd.;

2.                Based on myknowledge, this annual report does not contain any untrue statement of amaterial fact or omit to state a material fact necessary to make the statementsmade, in light of the circumstances under which such statements were made, notmisleading with respect to the period covered by this annual report;

3.                Based on myknowledge, the financial statements, and other financial information includedin this annual 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 annual report;

4.                The registrant’sother certifying officer and I are responsible for establishing and maintainingdisclosure controls and procedures (as defined in Exchange Act Rules 13a-14and 15d-14) for the registrant and we have:

(a)           designed suchdisclosure controls and procedures, or caused such disclosure controls andprocedures to be designed under our supervision, to ensure that materialinformation relating to the registrant, including its consolidatedsubsidiaries, is made known to us by others within those entities, particularlyduring the period in which this annual report is being prepared;

(b)          evaluated theeffectiveness of the registrant’s disclosure controls and procedures andpresented in this report our conclusions about the effectiveness of thedisclosure controls and procedures as of the end of the period covered by thisreport based on such evaluation; and

(c)           disclosed in thisreport any change in the registrant’s internal control over financial reportingthat occurred during the registrant’s most recent fiscal quarter (theregistrant’s first quarter in the case of this annual report) that hasmaterially affected, or is reasonably likely to materially affect, theregistrant’s internal control over financial reporting;

5.                The registrant’sother certifying officer and I have disclosed, based on our most recentevaluation of internal control over financial reporting, to the registrant’sauditors and the audit committee of registrant’s Board of Directors (or personsperforming the equivalent function):

(a)           all significantdeficiencies and material weaknesses in the design or operation of internalcontrols over financial reporting, which are reasonably likely to adverselyaffect the registrant’s ability to record, process, summarize and reportfinancial data; and

(b)          anyfraud, whether or not material, that involves management or other employees whohave a significant role in the registrant’s internal controls.
| Date: December 21, 2006 | /s/ Keith L  Barnes            |
|------------------------------|--------------------------------|
|                         | **Keith  L. Barnes**           |
|                         | ***Chief  Executive Officer*** |

 

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