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 July, 2004

                              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




Half Year 2004 results to be released on Tuesday, July 27, 2004

Zug, July 5, 2004

Converium  Holding Ltd,  Zug will release its half year 2004 results  before the
markets open in Europe on Tuesday, July 27, 2004.

A live webcast for the investment  community  will be held on Tuesday,  July 27,
2004 at 9:00 am Central European Time (CET). You can access it via the company's
web site  www.converium.com.  It will be  archived  on our website at about noon
time  that  day.  The  telephone  replay  of the  conference  call  will also be
available  one hour  after  the call  for 24  hours by  dialing  +41 91 612 4330
(Europe), +1 412 317 0088 (USA) or +44 207 866 4300 (UK) with access code: 132.

An Analyst and Media Conference will take place at Converium in Zurich,  General
Guisan-Quai  26, on  Tuesday,  July 27, 2004 from 11:00 am to 12:00 pm. A second
Analyst  Conference will be held at the London  Underwriting  Centre,  Greenwich
Room, 3 Minster Court,  Mincing Lane, London,  EC3R 7DD, on Wednesday,  July 28,
2004 from 9:30 to 10:30 am.

Investor Relations:

Zuzana Drozd
Head of Investor Relations
+41 1 639 91 20
zuzana.drozd@converium.com


Media Relations:

Michael Schiendorfer
Media Relations Manager
+41 1 639 96 57
michael.schiendorfer@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/ Dirk Lohmann
                                           ----------------
                                           Name:      Dirk Lohmann
                                           Title:     CEO



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

Date:  July 5, 2004