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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                    FORM 6-K

                        REPORT OF FOREIGN PRIVATE ISSUER
                     PURSUANT TO RULE 13A-16 OR 15D-16 UNDER
                       THE SECURITIES EXCHANGE ACT OF 1934

                         For the month of November 2004

                         Commission File Number 1-14840

                                 AMDOCS LIMITED

                      Suite 5, Tower Hill House Le Bordage
           St. Peter Port, Island of Guernsey, GY1 3QT Channel Islands

                                  Amdocs, Inc.
           1390 Timberlake Manor Parkway, Chesterfield, Missouri 63017

                    (Address of principal executive offices)

Indicate by check mark whether the registrant files or will file annual reports
under cover of 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                
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         On November 3, 2004, Amdocs Limited ("Amdocs") issued a press release
announcing its financial results for the quarter ended September 30, 2004. A
copy of the press release is furnished as Exhibit 99.1 to this Report of Foreign
Private Issuer on Form 6-K.

         The information in this Form 6-K (including Exhibit 99.1) shall not be
deemed "filed" for purposes of Section 18 of the Securities Exchange Act of 1934
(the "Exchange Act") or otherwise subject to the liabilities of that section,
nor shall it be deemed incorporated by reference in any filing under the
Securities Act of 1933 or the Exchange Act.

                                   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.

                                            AMDOCS LIMITED


                                            /s/ Thomas G. O'Brien              
                                            -----------------------------------
                                            Thomas G. O'Brien
                                            Treasurer and Secretary
                                            Authorized U.S. Representative

Date:    November 4, 2004

                                  EXHIBIT INDEX


EXHIBIT NO.                DESCRIPTION
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99.1                       Amdocs Limited Press Release dated November 3, 2004.