INX 10-K 2010 FY Annual report

Exhibit 32.1

Section 1350 Certification of Principal Executive Officer

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO SECTION 906

OF THE SARBANES-OXLEY ACT OF 2003

In connection with the Annual Report of INX Inc. (the “Company”) on Form 10-K for the year ended December 31, 2010 (the “Report”), as filed with the Securities and Exchange Commission on the date hereof, I, Mark T. Hilz, Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. §1350, as adopted pursuant to §906 of the Sarbanes-Oxley Act of 2003, that:

1. The Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

/s/ MARK T. HILZ                                

Mark T. Hilz

Chief Executive Officer

June 3, 2011