Exhibit 32.1 to 2003 10-Q

CERTIFICATION OF PERIODIC FINANCIAL REPORT BY CHIEF EXECUTIVE OFFICER PURSUANT
TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Form 10-Q for the quarter ended June 30, 2003 of
Convergys Corporation (the "Company"), as filed with the Securities and Exchange
Commission on August 12, 2003 (the "Report"), I, James F. Orr, President and
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.

/s/ James F. Orr
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James F. Orr
President and Chief Executive Officer

August 12, 2003

A signed original of this written statement required by Section 906 has been
provided to Convergys Corporation and will be retained by Convergys Corporation
and furnished to the Securities and Exchange Commission or its staff upon
request.