Exhibit 32.1

CERTIFICATION PURSUANT TO SECTION 906
OF THE SARBANES-OXLEY ACT OF 2002

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| | In connection
with the Quarterly Report on Form 10-Q of Levcor International, Inc. (the
Company) for the quarterly period ended June 30, 2008 as filed with the
Securities and Exchange Commission on the date hereof (the Report), I, Robert
A. Levinson, Chief Executive Officer of the Company, certify, pursuant to
section 906 of the Sarbanes-Oxley Act of 2002, that:
| |                                                                                                                                                                                                                                                                                                                                                                                 
| | (1)                                                                                                                                                                                                                                                                                                                                                                              | the Report
  fully complies with the requirements of Section 13(a) or 15(d) of the
  Securities Exchange Act of 1934; and                               
| |                                                                                                                                                                                                                                                                                                                                                                                 
| | (2)                                                                                                                                                                                                                                                                                                                                                                              | the
  information contained in the Report fairly presents, in all material
  respects, the financial condition and results of operations of the Company.

|                         |                         
|------------------------ | ------------------------
|Dated:
  August 14, 2008
|                         |                         
|By:                      | /s/ Robert
  A. Levinson
|                         |                         
|                         | Robert A. Levinson      
|                         | Chief Executive Officer 

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