EXHIBIT 31.2

CERTIFICATION PURSUANT TO RULE 13a-14(a) OR
15d-14(a) OF THE SECURITIES EXCHANGE ACT OF 1934, AS ADOPTED PURSUANT TO
SECTION 302 OF THE SARBANES-OXLEY ACT OF 2002

I, Brian K. Finneran, Chief Financial Officer of State Bancorp, Inc.,
certify that:

1. I have reviewed this annual report on Form 10-K of State Bancorp,
Inc.;

2. Based on my knowledge, this 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 report;

3. Based on my knowledge, the financial statements, and other financial
information included in this 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 report;

4. The registrants other certifying officer 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:

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| | (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 report is being
 prepared;         
| |                                                                                                                                                                                                                                                                                                                                                                                                 
| | (b) Designed such internal control over financial reporting, or
 caused 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 report our conclusions about
 the effectiveness of the disclosure controls and procedures, as of the end of
 the period covered by this report based on such evaluation; and                                                                                                      
| |                                                                                                                                                                                                                                                                                                                                                                                                 
| | (d) Disclosed in this report any change in the registrants internal
 control over financial reporting that occurred during the registrants most
 recent fiscal quarter (the registrants fourth fiscal quarter in the case of
 an annual report) 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 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):

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| | --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| | (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.                                                                                                

|        |                          | 
|------- | ------------------------ | 
|3/10/11 | /s/ Brian K.
 Finneran  
|Date    |                          | 
|        | Brian K.
 Finneran,     
|        | Chief
 Financial Officer

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