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                                    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 May, 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




                     [Translation from the German original]


                                    Articles
                                       of
                                  Incorporation


                                       of




--------------------------------------------------------------------------------


                              Converium Holding AG


--------------------------------------------------------------------------------



                          with registered office in Zug



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I.    Name, Registered Office, Duration and Purpose




                                     Art. 1

                      Name, Registered Office and Duration



                                 Under the name



                              Converium Holding AG

                              Converium Holding SA

                             Converium Holding Ltd.



there exists a corporation with registered office in Zug. The duration of the
Company is unlimited.




                                     Art. 2

                                     Purpose

The  main   purpose  of  the  Company  is  to   acquire,   hold  and  to  manage
participations.  Furthermore,  it may,  in  Switzerland  and  abroad,  carry out
finance and management  transactions and render related services of any kind and
set up branches and subsidiaries in Switzerland and abroad.

The Company may acquire, hold and sell real estate in Switzerland and abroad.

The  Company may grant,  sell and acquire  licenses  and  intellectual  property
rights.

The  Company  may do any  other  business  and take any  steps  that  seem to be
suitable to support the purpose of the Company or that are in a context with the
purpose of the Company.




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II.   Share Capital

                                     Art. 3

                                  Share Capital

The share capital of the Company  amounts to CHF  400,062,170  and is dived into
40,006,217  registered  shares  with a par value of CHF 10 each.  Each  share is
fully paid up.




                                     Art. 3a

       Contingent Share Capital for Option Rights and/or Conversion Rights

The share  capital will be increased by the issue up to 4'000'000  fully paid-up
registered  shares each of CHF 10 nominal  value  amounting  to a maximum of CHF
40'000'000 by exercising option and/or conversion rights which were granted on a
stand-alone  basis or in connection  with bond issues or other debt financing of
the  Company  or  any  of  its  subsidiaries.  The  subscription  right  of  the
shareholders with respect to these shares is excluded.

The  placing of the option  and/or  conversion  rights may be made either by the
Company or any of its  subsidiaries or through one or more banks which subscribe
for these rights as trustees.  The Board of Directors is  authorized  to exclude
the  advance  subscription  right  of  the  shareholders  if the  option  and/or
conversion  rights are used in connection with the financing of a take-over of a
business, parts





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of a business  or  participations.  In this case the  structure,  the term,  the
amount of the bond issuer or other debt financing,  if any, as well as the terms
and  conditions of the option and/or  conversion  rights are to be determined by
the Board of Directors on the basis of the market  conditions  prevailing at the
time of the  issue of the  rights.  Option  and/or  conversion  rights  shall be
exercisable for a maximum period of 10 years.




                                     Art. 3b

                            Authorized Share Capital

The Board of Directors is  authorized,  on or before April 27, 2006, to increase
the share  capital  by the  issue up to a maximum  of  4'000'000  fully  paid-up
registered  shares each of CHF 10 nominal  value  amounting  to a maximum of CHF
40'000'000.  An increase in partial  amounts is permitted.  The date of issue of
new shares,  their issue price, the type of payment, the date of the entitlement
to dividends  and the details of a  contribution  in kind or an  acquisition  of
assets, if any, will be determined by the Board of Directors.

The new shares are to be placed with the existing shareholders.  The placing can
be made through one or more banks,  which  subscribe for the shares as trustees.
Furthermore,  the Board of Directors is authorized  to exclude the  subscription
rights of the  shareholders  and to allot them to third  parties in case the new
shares  are  used  for  a  take-over  of a  business,  parts  of a  business  or
participations  or for the financing of such transactions or for the enlargement
of the  shareholder  base in  connection  with the  listing of shares on a stock
exchange. Shares in respect of which subscription rights have been allotted, but
which were not  exercised,  are at the  disposal of the Board of  Directors  who
shall use them in the interest of the Company.  The  increase by  conversion  of
freely disposable capital surplus in accordance with Art. 652d of the Swiss Code
of Obligations is permitted.




                                     Art. 4

                Membership Rights, Book-entry Shares, Conversion

The share capital is neither  represented by a global  certificate  nor by other
certificates,   individual   shares  or  documented  in  any  other  form.   The
shareholders are not entitled to demand the issue of any share certificate.

The membership rights are transferred by way of assignment. The same shall apply
to the  establishment  of a usufructuary.  Such an assignment shall not be valid
unless notified to the Company.  If shares are kept in book-entry form by a bank
on behalf of a  shareholder,  such shares may be  transferred  through such bank
only and may only be pledged to such bank by way of a written pledge  agreement.
A notification of the Company is not required.

Registered  Shares may be converted  into bearer shares and bearer shares may be
converted into registered  shares at any time by an amendment of the Articles of
Incorporation resolved upon by the General Meeting of Shareholders. Furthermore,
shares may be combined  into shares of a greater  nominal  value or divided into
shares  of  a  smaller  nominal  value  by  an  amendment  of  the  Articles  of
Incorporation.




                                     Art. 5

                                 Share Register

The  Company  shall  maintain a share  register  showing  the name,  first name,
residence,  address and  nationality  (in case of legal  entities the registered
office) of the  holders and  usufructuaries  of the  shares.  The  Company  will
recognize  shareholders and usufructuaries of shares only if they are registered
in the share register. The Company accepts only one representative per share.

Upon  request,  acquirers  of shares are  registered  in the share  register  as
shareholders  with the right to vote  provided  they declare  explicitly to have
acquired  the shares in their own name and for their own  account.  The Board of
Directors is authorized to grant  exemptions  from this  provision in connection
with the trading of shares on foreign markets; e.g. the registration of nominees
in connection with the establishment of an ADR-program.

The Board of Directors is authorized  to register such nominees as  shareholders
with  voting  rights up to a maximum of 5% of the nominal  share  capital of the
Company.  Over this limit of


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5% the Board of Directors is authorized to register nominees as shareholders
with voting rights only if the respective nominee discloses the name, address
and the share holdings of the persons for their account he holds 0.5% or more of
the nominal share capital of the Company. The Board of Directors shall enter
into agreements with such nominees with regard to disclosure requirements, the
representation of such shares, and the exercise of the respective voting rights.

After having heard the party  concerned,  the Company may cancel  entries in the
share register in case these entries  result from  incorrect  information of the
acquirer.  The acquirer must be informed  immediately  about the cancellation of
the registration.

III.  Organization of the Company




                                     Art. 6

                                Corporate Bodies

The Corporate Bodies of the Company are:

    A. The General Meeting of Shareholders

    B. The Board of Directors

    C. The Auditors



A.    The General Meeting of Shareholders



                                     Art. 7

                                  Competencies

The General Meeting of Shareholders is the supreme body of the Company.

The  following  powers  shall be vested  exclusively  to the General  Meeting of
Shareholders:

     a)   to adopt and to amend the Articles of Incorporation;

     b)   to elect and to dismiss the members of the Board of Directors  and the
          auditors,  as well as the additional  auditors in accordance with this
          Article 20;

     c)   to approve the annual report,  the consolidated  financial  statements
          and the  annual  financial  statements  as well  as to  decide  on the
          allocation of the balance sheet profit,  in particular  with regard to
          dividends and to sharing of profits by the directors;



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     d)   to  discharge  the members of the Board of  Directors  and the persons
          entrusted with the management;

     e)   to pass resolutions concerning matters which by law or by the Articles
          of Incorporation  are reserved to the authority of the General Meeting
          of Shareholders.




                                     Art. 8

           Ordinary and Extraordinary General Meetings of Shareholders

The ordinary General Meeting of Shareholders  shall be held each year within six
months after the close of the business year of the Company.  It shall take place
at the registered  office of the Company or at any other place in Switzerland or
abroad as determined by the corporate body convening the meeting.

Extraordinary  General  Meetings  of  Shareholders  shall be  convened if deemed
necessary  by the Board of  Directors  or the  auditors,  upon  resolution  of a
General  Meeting  of  Shareholders  or  upon  written  request  by one  or  more
shareholders,  holding  in the  aggregate  not less  than one tenth of the share
capital,  to the Board of Directors  specifying  the items of the agenda and the
motions.




                                     Art. 9

                  Convening of General Meetings of Shareholders

The General Meeting of Shareholders shall be convened by the Board of Directors
or, if necessary, by the auditors,

The General  Meeting of  Shareholders  shall be  convened  at least  twenty days
before the date of the meeting in accordance  with Article 25 of the Articles of
Incorporation.

The notice of a meeting shall state the place and time of the meeting, the items
on the agenda and the motions of the Board of Directors and of the  shareholders
who  requested the convening of a General  Meeting of  Shareholders.  In case of
elections the names of the nominated candidates shall be specified.

No resolution  shall be passed at a General  Meeting of  Shareholders on matters
for  which no  notice  as  aforesaid  was  given.  This  shall  not apply to the
resolution to convene an  Extraordinary  General Meeting of Shareholders  and to
initiate a special  audit.  Motions within the limits of the items on the agenda
and   negotiations   without  passing  a  resolution  do  not  require  such  an
announcement.

Not later than twenty days before the Ordinary  General  Meeting of Shareholders
the business  report and the report of the auditors  shall be made available for
inspection by the  shareholders


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at   the   registered office  of  the   Company.  This  shall  be  announced  in
the invitation for the General Meeting of Shareholders.




                                     Art. 10

                                     Agenda

One or more  shareholders  whose combined share holdings  represent an aggregate
nominal  amount of at least CHF 1 million may demand that an item be included in
the agenda of a General Meeting of  Shareholders.  Such a demand must be made in
writing not less than 45 days before the meeting and shall specify the items and
the motions of such a shareholder.




                                     Art. 11

                            Chairperson, Scrutineers

The  President of the Board of  Directors,  or the  Vice-President  or any other
member  of the  Board of  Directors  takes  the  chair in  General  Meetings  of
Shareholders.  In case of absence of any  member of the Board of  Directors  the
General Meeting of Shareholders elects the Chairperson.

The Chairperson  shall appoint the scrutineers and the secretary who do not need
not be shareholders of the Company.




                                     Art. 12

              Voting Rights, Rules of Procedure and Representation

In the General Meeting of Shareholders each share entitles to one vote. Only the
shareholders registered in the share register as shareholders with voting rights
on a cut-off day fixed by the Board of Directors  before the General  Meeting of
Shareholders  are authorized to take part in the General Meeting of Shareholders
and to vote. The shares are not dividable.

The Board of Directors shall provide for the rules  regarding the  participation
and the  representation  at the General  Meeting of  Shareholders as well as the
determination of voting rights.

A shareholder may be represented by his legal representative, another person who
need not be a shareholder  of the Company,  authorized in writing,  by corporate
bodies, by independent proxies or by depositaries.


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                                     Art. 13

                                   Resolutions

Unless provided for differently in the law or in the Articles of  Incorporation,
the General Meeting of Shareholders  passes resolutions and holds elections with
the majority of votes cast,  excluding  abstentions and void and blank votes. If
no election  has taken  place at the first  ballot and if there is more than one
candidate,  the  Chairperson  shall order a second ballot in which the candidate
with the most votes shall be elected.

If the capability exists to vote on resolutions and elections  electronically at
the General Meeting of Shareholders it shall be done so. Otherwise,  resolutions
and elections shall be voted on a show of hands,  unless the Chairperson  orders
or the General Meeting of Shareholders,  by request of shareholders representing
in the aggregate a share capital of at least CHF 1 million, resolves on a secret
ballot.

The  Chairperson  may at any time order to repeat an  election  or a  resolution
taken on a show of hands with a written ballot,  if he has doubts on the results
of the  vote  or the  resolution.  In  this  case,  the  preceding  election  or
resolution taken on a show of hands is deemed not to have occurred.

The approval of both at least two thirds of votes  represented  and the absolute
majority  of the  nominal  values of the  shares  represented  is  required  for
resolutions of the General Meeting of Shareholders on:

1.       an alteration of the purpose of the Company;

2.       the creation of super-voting shares;

3.       restrictions  on the transfer of  registered  shares and the removal of
         such  restrictions  as well as  restrictions to vote and the removal of
         such restrictions;

4.       an authorized or contingent increase of share capital;

5.       an increase  of share  capital by  conversion  of capital  surplus,  by
         contribution in kind or for the purpose of an acquisition of assets and
         the grant of special rights;

6.       a  restriction  or  exclusion  of the  subscription  right  or  advance
         subscription right;

7.       a change of the Company's registered office;

8.       the dissolution of the Company without liquidation.




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                                     Art. 14

                                     Minutes

The Board of Directors is  responsible  for keeping the minutes  concerning  the
represented  shares  in the  General  Meeting  of  Shareholders  as  well as any
motions,  statements to the minutes and  resolutions  of the  shareholders.  The
minutes shall be signed by the Chairperson and the secretary.



B.    The Board of Directors



                                     Art. 15

                          Constitution, Term of Office

The Board of Directors  shall consist of a minimum of four and a maximum of nine
members.

The Board of Directors  shall  constitute  itself.  The Board of Directors shall
appoint its President, one or two Vice-Presidents, if any, and the secretary who
does not need to be a member of the Board of Directors.

The Board of Directors shall determine the remuneration of its members.

The members of the Board of  Directors  shall be elected for a term of office of
not more than three years;  they are re-eligible.  A year in the meaning of this
provision is the period between two Ordinary  General  Meetings of Shareholders.
In case of an election of a substitute, the new member of the Board of Directors
finishes the term of office of its predecessor.




                                     Art. 16

                        Powers of the Board of Directors

The Board of Directors is responsible for the ultimate direction of the Company.
The Board of  Directors  represents  the  Company and manages the affairs of the
Company  that  are not  allotted  to any  other  corporate  body by law,  by the
Articles of Incorporation or by regulations.

The Board of Directors has in  particular  the  following  non-transferable  and
inalienable duties:

1.         the  ultimate  direction  of the  Company  and  the  issuance  of the
           necessary instructions;

2.         the determination of the organization;

3.         the determination of the principles of accounting,  financial control
           and financial planning;


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4.         the  appointment  and  removal  of the  persons  entrusted  with  the
           management and the representation of the Company;

5.         the ultimate supervision of the persons entrusted with the management
           of the Company,  especially in view of their compliance with the law,
           the Articles of Incorporation, regulations and instructions;

6.         the  preparation of the business  report and the General  Meetings of
           Shareholders and the implementation of its resolutions;

7.         the notification of the judge in case of over-indebtedness;

8.         the issue of option rights and conversion rights in respect of shares
           of the Company,  the increase of the share  capital out of authorized
           capital  as well as  resolutions  concerning  capital  increases  and
           respective amendments to the Articles of Incorporation;

9.         the examination of the professional skills of qualified auditors.

For the rest, the Board of Directors may, by adoption of Organizational By-laws,
delegate  the  management  of the  Company  within  the  limits of the law to an
individual member of the Board of Directors,  to a group of members of the Board
of Directors or to a third party.




                                     Art. 17

                                Signing Authority

The Board of  Directors  determines  those of its members as well as those third
parties who shall have signing authority for the Company. The Board of Directors
shall  further  determine the manner in which such persons may sign on behalf of
the Company.




                                     Art. 18

                             Convocation of Meetings

The President or any of the Vice-Presidents of the Board of Directors shall call
meetings  of the  Board  as often as  circumstances  call for or if a member  so
requires and  specifies the reasons.  The convening  shall take place within two
weeks.  The convocation  shall be made not less than ten days before the meeting
is held in writing (or by telefax or e-mail if the sender can be  identified  as
the relevant member of the Board of Directors) and by announcing the agenda.



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                                     Art. 19

                                   Resolutions

In order to pass  resolutions,  the  majority  of the  members  of the  Board of
Directors  must be present.  Telephone  conferences  and video  conferences  are
permitted if the participants can be identified  unequivocally  and clearly.  No
quorum of present  members  shall be necessary for  resolutions  of the Board of
Directors  providing  for  the  confirmation  of  capital  increases  or for the
amendment of the Articles of Incorporation in connection with capital increases.

The  resolutions  and elections by the Board of Directors  require a majority of
the votes cast. The Chairperson shall have a casting vote.

Resolutions  may be  adopted  by way of  circular  letter,  including  telegram,
telefax and e-mail (if the sender can be  identified  as the relevant  member of
the Board of Directors),  provided that no member requests a verbal  discussion.
In case of circular resolutions, the absolute majority of all votes is required.

The  negotiations and the resolutions of the Board of Directors shall be kept in
the minutes, which shall be signed by the Chairperson and the secretary.



C.    Auditors and Group Auditors



                                     Art. 20

                             Term, Powers and Duties

The auditors and the Group auditors  shall be elected by the General  Meeting of
Shareholders  for a term of one year;  they  shall  have the  powers  and duties
vested in them by law.

The General Meeting of Shareholders  may elect one or more further  auditors who
shall carry out the reviews to be made in connection with increases of the share
capital (Art. 652f, Art. 653f and Art. 653i of the Swiss Code of Obligations).

IV.   Business Year, Annual Financial Statement, Consolidated Financial
      Statement and Allocation of Profit




                                     Art. 21

                                  Business Year

The Board of Directors shall determine the business year.





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                                     Art. 22

          Annual Financial Statement, Consolidated Financial Statement

The annual  financial  statement,  consisting of the profit and loss  statement,
balance  sheet and annex,  and the  consolidated  financial  statement  shall be
established in accordance  with the provisions of the Swiss Code of Obligations,
particularly Art. 662 et seq., and with generally accepted commercial principles
and principles of the business segment.




                                     Art. 23

                              Allocation of Profit

Subject to the provisions on the  allocation of profit  provided for in the law,
especially  Art.  671 et seq.  of the Swiss  Code of  Obligations,  the  General
Meeting of Shareholders decides on the allocation of profit.

The General  Meeting of  Shareholders  is authorized to create capital  reserves
other  than the  legally  required  reserves  that  shall be used to fulfil  the
Company's purpose.

V.    Dissolution and Liquidation




                                     Art. 24

The General Meeting of  Shareholders  may at any time decide the dissolution and
liquidation of the Company in accordance with the relevant provisions of the law
and the Articles of Incorporation.

VI.   Communications




                                     Art. 25

Notifications  of the Company to shareholders and to third parties shall be made
by one  publication  in the Swiss  Official  Gazette of  Commerce.  The Board of
Directors may determine additional means of communication.

Other communications to shareholders can be made in writing if the Company knows
the relevant addresses.


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VII.  Contributions in Kind




                                     Art. 26

In connection with the capital increase of the Company dated September 24, 2001,
and according to the  contribution  in kind agreement  dated September 24, 2001,
the  Company  assumes  as a  contribution  in  kind  (a)  1,000,000  fully  paid
registered  shares of Converium AG, Zug,  representing an aggregate value of CHF
12,000,000,  and (b) 100 fully paid shares of Converium Holdings (North America)
Inc,   Delaware,   U.S.A.,   representing  an  aggregate  value  of  USD  1.  In
consideration for the contribution in kind, Zurich Financial  Services,  Zurich,
c/o Zurich Insurance Company, Mythenquai 2, 8002 Zurich, shall receive 1,200,000
newly issued  registered shares at a par value of CHF 10 each. The amount of the
issue  price  exceeding  the  aggregate  par value of the new shares of CHF 1.60
(corresponding to USD 1) shall be kept by the Company as capital surplus.




                                     Art. 27

In connection with the capital increase of the Company dated September 24, 2001,
the Company assumes as a contribution in kind a note,  dated September 21, 2001,
of Zurich Insurance Company,  Mythenquai 2, 8002 Zurich, in the aggregate amount
of CHF  900,000,000.  In  consideration  for the  contribution  in kind,  Zurich
Financial  Services,  Mythenquai 2, 8002 Zurich,  shall receive 38,790,000 newly
issued registered shares at a par value of CHF 10. The amount of the issue price
exceeding the aggregate par value of the new shares of CHF 512,100,000  shall be
kept by the Company as capital  surplus.  The Company intends to contribute this
note to  Converium  AG in the  course of an  increase  of the share  capital  of
Converium  AG  as a  contribution  in  kind  against  issue  of  39,000,000  new
registered  shares  in  Converium  AG at a par value of CHF 10 each at a maximum
issue price of CHF 900,000,000.





Zug, 27.04.2004


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                                   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:  May 6, 2004