Virtu Itg 10-Q 2007 Q3 Quarterly report

Exhibit 32.1

Certification Under Section 906 of the Sarbanes-Oxley Act of 2002
(United States Code, Title 18, Chapter 63, Section 1350)
Accompanying Quarterly Report on Form 10-Q of
Investment Technology Group, Inc. for the Quarter Ended September 30, 2007

In connection with the Quarterly Report on Form 10-Q of Investment Technology Group, Inc. (the “Company”) for the quarter ended September 30, 2007, as filed with the Securities and Exchange Commission on the date hereof (the “Report”), Robert C. Gasser, as Chief Executive Officer of the Company, and Howard C. Naphtali, as Chief Financial Officer of the Company, each hereby certifies, pursuant to 18 U.S.C. (§)1350, as adopted 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), as applicable, 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.

/s/ ROBERT C. GASSER	/s/ HOWARD C. NAPHTALI
Robert C. Gasser	Howard C. Naphtali
Chief Executive Officer	Chief Financial Officer
November 8, 2007	November 8, 2007

The foregoing certification is being furnished solely pursuant to 18 U.S.C. § 1350 and is not being filed as part of the Report or as a separate disclosure document.