Form 6-K

                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                        Report of Foreign Private Issuer

                        Pursuant to Rule 13a-16 or 15d-16
                     of the Securities Exchange Act of 1934

                         For the month of January, 2006

                              CONVERIUM HOLDING AG
                 -----------------------------------------------
                 (Translation of registrant's name into English)

                                 Baarerstrasse 8
                                   CH-6300 Zug
                                   Switzerland
                    ----------------------------------------
                    (Address of principal executive offices)

Indicate by check mark whether the registrant files or will file annual reports
under cover Form 20-F or Form 40-F.

                            Form 20-F    X    Form 40-F        
                                      -------           -------

Indicate by check mark whether the registrant by furnishing the information
contained in this Form is also thereby furnishing the information to the
Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

                               Yes         No    X   
                                   -------    -------

If "Yes" is marked, indicate the file number assigned to the registrant in 
connection with Rule 12g3-2(b):  82-   Not Applicable



Odey Asset Management LLP adjusts its holding in Converium registered shares
from 11.2% to 5.3%

Disclosure of shareholdings pursuant to Art. 20 SESTA

Converium Holding Ltd, Zug, has been notified that Odey Asset Management LLP, 12
Upper Grosvenor Street, London W1K 2ND, United Kingdom, has decreased its
holding of registered shares with voting rights to 7,776,446. This corresponds
to 5.3% of Converium's registered share capital. These shares are held and
managed in various funds. None of these funds is holding shares in an amount,
which exceeds 5% of Converium's registered share capital.

Odey Asset Management LLP is a British Financial Services Authority registered
fund management house, and acts as the investment manager for several funds.


Zug, January 17, 2006



Contacts:

Zuzana Drozd
Head of Investor Relations
zuzana.drozd@converium.com
--------------------------
Phone    +41 (0) 44 639 91 20
Fax      +41 (0) 44 639 71 20


Esther Gerster
Head of Public Relations
esther.gerster@converium.com
----------------------------
Phone    +41 (0) 44 639 90 22
Fax      +41 (0) 44 639 70 22


www.converium.com
-----------------



                                   SIGNATURES

Pursuant to the requirements 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.


                                               CONVERIUM HOLDING AG




                                               By:  /s/ Terry Clarke
                                                    ----------------
                                                    Name:  Terry Clarke
                                                    Title: CEO




                                               By:  /s/ Christian Felderer
                                                    ----------------------
                                                    Name:  Christian Felderer
                                                    Title: General Legal Counsel



Date: January 17, 2006