Exhibit 99.2

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

In connection with the Form 10-K of Convergys Corporation (the "Company"), for
the fiscal year ended December 31, 2002, as filed with the Securities and
Exchange Commission on March 6, 2003 (the "Report"), I, Steven G. Rolls, Chief
Financial 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/ Steven G. Rolls
- ----------------------------------
Steven G. Rolls
Chief Financial Officer

March 6, 2003