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 June, 2007

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

                                 Dammstrasse 19
                                   CH-6301 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







Converium Holding Ltd, Zurich


Zurich, Switzerland - June 14, 2007 - Converium announces the filing of its 20-F
2006 for the fiscal year ended December 31, 2006

Converium  announces  it has  filed  its 20-F  2006 for the  fiscal  year  ended
December 31, 2006 with the SEC today. The 20-F 2006 has also been made available
on Converium's webpage (www.converium.com).

Shareholders  have the  ability to receive a hard copy of the  complete  audited
financial statements free of charge upon request.


Enquiries

Beat W. Werder                                     Marco Circelli
Head of Public Relations                           Head of Investor Relations
beat.werder@converium.com                          marco.circelli@converium.com
Phone:     +41 (0) 44 639 90 22                    Phone:   +41 (0) 44 639 91 31
Fax:       +41 (0) 44 639 70 22                    Fax:     +41 (0) 44 639 71 31


Dr. Kai-Uwe Schanz                                 Inken Ehrich
Chief Communication & Corporate Development        Investor Relations Specialist
Officer                                            inken.ehrich@converium.com
kai-uwe.schanz@converium.com                       Phone:   +41 (0) 44 639 90 94
Phone:     +41 (0) 44 639 90 35                    Fax:     +41 (0) 44 639 70 94
Fax:       +41 (0) 44 639 70 35


About Converium
Converium is an independent  international  multi-line  reinsurer  known for its
innovation,  professionalism  and service.  Today  Converium  employs  about 500
people in 15 offices  around  the globe and is  organized  into  three  business
segments:  Standard Property & Casualty Reinsurance,  Specialty Lines and Life &
Health Reinsurance.  Converium has an "A-" ("strong")  financial strength rating
(outlook  stable) from Standard & Poor's and a "B++"  financial  strength rating
(outlook positive) from A.M. Best Company.


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Important Disclaimers


Our Form 20-F contains forward-looking statements as defined in the U.S. Private
Securities Litigation Reform Act of 1995. It contains forward-looking statements
and  information  relating  to the  Company's  financial  condition,  results of
operations,   business,   strategy  and  plans,  based  on  currently  available
information. These statements are often, but not always, made through the use of
words or  phrases  such as  `seek  to',  `expects',  `aims'  `should  continue',
`believes',    `anticipates',    `estimates'   and   `intends'.   The   specific
forward-looking  statements  cover,  among other  matters,  our combined  ratio,
return on equity and premium volume and expense reduction targets,  our plans to
use  capital  more  efficiently  and to  return  capital  to  shareholders,  the
reinsurance  market,  the Company's  operating  results,  the Company's dividend
policy,  the prospects for  improving our results,  investment  yield and market
share.   Such   statements   are   inherently   subject  to  certain  risks  and
uncertainties.  Actual future  results and trends could differ  materially  from
those set forth in such statements due to various factors.  Such factors include
our ability to refinance our  outstanding  indebtedness  and increase our use of
hybrid capital; uncertainties of assumptions used in our reserving process; risk
associated with implementing our business strategies and our capital improvement
measures; cyclical nature of the reinsurance industry; the occurrence of natural
and  man-made  catastrophic  events with a frequency or severity  exceeding  our
estimates;  acts of terrorism and acts of war;  changes in economic  conditions,
including interest and currency rate conditions that could affect our investment
portfolio;   actions  of  competitors,   including  industry  consolidation  and
development of competing financial  products;  a decrease in the level of demand
for our reinsurance or increased  competition in our industries or markets;  our
ability to expand into  emerging  markets;  our ability to enter into  strategic
investment  partnerships;  a loss of our key  employees  or  executive  officers
without suitable  replacements being recruited within a suitable period of time;
political  risks in the  countries  in which we operate or in which we  reinsure
risks;  the  passage  of  additional  legislation  or  the  promulgation  of new
regulation  in a  jurisdiction  in which we or our clients  operate or where our
subsidiaries  are  organized;  the effect on us and the insurance  industry as a
result of the investigations being carried out by the US Securities and Exchange
Commission  ("SEC")  and New  York's  Attorney  General  and other  governmental
authorities;  timing and outcome of class action lawsuits; our ability to regain
past customers following the rating upgrade; our ability to retain employees and
certain  business we write prior to and  following  the  consummation  of SCOR's
tender offer;  our ability to  successfully  integrate our business with that of
SCOR's following the consummation of and retain joint ventures in which we are a
party;  the resolution of the  investigations  being carried out by the SEC, New
York's  Attorney  General  and other  governmental  authorities;  changes in our
investment  results due to the changed  composition  of our  invested  assets or
changes in our investment policy;  failure of our  retrocessional  reinsurers to
honor their  obligations or changes in the credit  worthiness of our reinsurers;
our failure to prevail in any current or future  arbitration or litigation;  and
extraordinary   events   affecting  our  clients,   such  as  bankruptcies   and
liquidations.  The  Company  does  not  assume  any  obligation  to  update  any
forward-looking  statements,  whether  as a result  of new  information,  future
events or otherwise.







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/ Inga Beale
                                                Name:    Inga Beale
                                                Title:   CEO


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



Date: June 21, 2007





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