UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 10-K/A

(Amendment No. 1)

ANNUAL REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE

SECURITIES EXCHANGE ACT OF 1934

For the fiscal year ended December 31, 2009

Commissions file number 1-14379

CONVERGYS CORPORATION

201 East Fourth Street, Cincinnati, Ohio 45202

Telephone Number (513) 723-7000

Securities registered pursuant to Section 12(b) of the Act:

Securities registered pursuant to Section 12(g) of the Act: None

Indicate by check mark if the registrant is a well-known seasoned issuer, as defined in Rule 405 of the Securities Act.  Yes   X      No       

Indicate by check mark if the registrant is not required to file reports pursuant to Section 13 or Section 15(d) of the Act.  Yes           No   X  

Indicate by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 during the preceding 12 months (or for such shorter period that the registrant was required to file such reports), and (2) has been subject to such filing requirements for the past 90 days.  Yes   X       No       

Indicate by check mark whether the registrant has submitted electronically and posted on its corporate Website, if any, every Interactive Data File required to be submitted and posted pursuant to Rule 405 of Regulation S-T (Section 232.405 of this chapter) during the preceding 12 months (or for such shorter period that the registrant was required to submit and post such files).  Yes           No       

Indicate by check mark if disclosure of delinquent filers pursuant to Item 405 of Regulation S-K (Section 229.405 of this chapter) is not contained herein, and will not be contained, to the best of registrant’s knowledge, in definitive proxy or information statements incorporated by reference in Part III of this Form 10-K or any amendment to this Form 10-K.        

Indicate by check mark whether the registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer or a smaller reporting company. See definitions of “large accelerated filer,” “accelerated filer” and “smaller reporting company” in Rule 12b-2 of the Exchange Act.

Large accelerated filer   X      Accelerated filer           Non-accelerated filer           Smaller reporting company       

Indicate by check mark whether the registrant is a shell company (as defined in Rule 12b-2 of the Exchange Act).  Yes           No   X  

The aggregate market value of the voting shares held by non-affiliates of the registrant was $1,139,860,863, computed by reference to the closing sale price of the stock on the New York Stock Exchange on June 30, 2009, the last business day of the registrant’s most recently completed second fiscal quarter.

At January 31, 2010, there were 123,170,011 common shares outstanding, excluding amounts held in treasury of 60,163,838.

DOCUMENTS INCORPORATED BY REFERENCE

Portions of the registrant’s definitive proxy statement for the 2010 Annual Meeting of Shareholders to be held on April 20, 2010 are incorporated by reference into Part III of this report.

Explanatory Note

This Form 10-K/A is being filed by Convergys Corporation (“the Company”) to include audited financial statements of Cincinnati SMSA Limited Partnership (the “Partnership”) as an exhibit to the Company’s Form 10-K for 2009. The Company owns a 33.8% limited partnership interest in the Partnership. A consent of Ernst & Young LLP, independent auditors for the Partnership, is also being filed as an exhibit hereto.

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PART IV

Item 15. Exhibits, Financial Statement Schedule

Item 15(a)(1) and (2). List of Financial Statements and Financial Statement Schedule

The following consolidated financial statements of Convergys are included in Item 8:

Financial statement schedules other than that listed above have been omitted because the required information is not required or applicable.

(3) Exhibits:

Exhibits identified in parenthesis below, on file with the Securities and Exchange Commission (SEC), are incorporated herein by reference as exhibits hereto.

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4

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Item 15(b) and (c). Exhibits and Financial Statement Schedule

The responses to these portions of Item 15 were submitted as a separate section of the Company’s Annual Report on Form 10-K for the year ended December 31, 2009.

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Signatures

Pursuant to the requirements of Section 13 or 15(d) of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

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