SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                    FORM 6-K

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

                         For the month of March, 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
                         -------                           -------



     On March 2, 2004, Amdocs Limited, a corporation organized under the
laws of the Island of Guernsey ("Amdocs"), announced that it has entered into
an agreement to sell $450 million aggregate principal amount of its 0.50%
Convertible Senior Notes due 2024 (the "Notes") through a previously announced
private placement to qualified institutional buyers pursuant to Rule 144A under
the Securities Act of 1933, as amended. Amdocs granted the initial purchasers
of the Notes an option to purchase up to an additional $67.5 million to cover
over-allotments. Amdocs has also agreed to use approximately $170.1 million of
the proceeds of the offering to repurchase approximately 6.1 million of its
ordinary shares sold short by purchasers of the Notes in negotiated
transactions concurrently with this offering.

     Attached as Exhibit 99.1 and incorporated herein by reference in its
entirety is a copy of a press release dated March 2, 2004.

                                       2


                                   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: March 2, 2004

                                       3


                                  EXHIBIT INDEX


EXHIBIT NO.             DESCRIPTION
- -----------             -----------
    99.1                Amdocs Limited Press Release dated March 2, 2004.



                                                                    Exhibit 99.1
                           Amdocs Announces Agreement
             to Sell Convertible Senior Notes and Repurchase Shares




ST. LOUIS, MO, March 2, 2004 -- Amdocs Limited (NYSE: DOX), a leading provider
of billing and CRM products and services for true, integrated customer
management, today announced that it has entered into an agreement to sell $450
million aggregate principal amount of its 0.50% Convertible Senior Notes due
2024 through a previously announced private placement to qualified institutional
buyers pursuant to Rule 144A under the Securities Act of 1933, as amended. In
addition, Amdocs has granted the initial purchasers of the notes the option to
purchase up to an additional $67.5 million aggregate principal amount of notes.

The 0.50% Convertible Senior Notes due 2024 are convertible if certain
conditions are satisfied into ordinary shares of Amdocs at an initial conversion
rate of 23.1911 shares per $1,000 principal amount of notes, subject to
adjustment. This represents a conversion premium of 54% to yesterday's $28.00
closing price of Amdocs Ordinary Shares on the New York Stock Exchange. The
notes will mature on March 15, 2024, unless earlier converted, redeemed or
repurchased. Interest on the notes will be payable at the rate of 0.50% per
annum on March 15 and September 15 of each year, beginning on September 15,
2004. The notes can be put to the Company on March 15 of 2009, 2014 and 2019 and
are callable only after March 20, 2009.  The notes will be senior unsecured and
unsubordinated debt and will rank equal in priority with all of the Company's
existing and future unsecured and unsubordinated debt. The offering is expected
to close on March 5, 2004, subject to customary closing conditions.

Amdocs has also agreed to use approximately $170.1 million of the proceeds of
the offering to repurchase approximately 6.1 million of its ordinary shares sold
short by purchasers of the notes in negotiated transactions concurrently with
this offering. Amdocs intends to use the balance of the proceeds for general
corporate purposes, as well as for future possible strategic opportunities,
including acquisitions. Amdocs may also use the net proceeds and other cash
resources to repurchase its 2% Convertible Notes due June 1, 2008, which the
Company may be required to repurchase from the holders thereof on June 1, 2004.
Due to the conversion price for the 2% Convertible Notes, it is likely that the
holders of such notes will require the Company to repurchase such notes on June
1, 2004. Approximately $395.5 million aggregate principal amount of the 2%
Convertible Notes is currently outstanding.

This news release does not constitute an offer to sell or the solicitation of an
offer to buy the notes or any other securities and shall not constitute an
offer, solicitation or sale in any jurisdiction in which such offer,
solicitation or sale is unlawful. Any offers of the securities will be made only
by means of a private offering memorandum. The notes will be issued in a private
placement and are expected to be resold by the initial purchasers to qualified
institutional buyers under Rule 144A of the Securities Act of 1933, as amended.
The notes and the ordinary shares issuable upon conversion of the notes have not
been registered under the Securities Act of 1933, or any state securities laws,
and may not be offered or sold in the United States absent registration or an
applicable exemption from registration requirements.

Statements in this release that are not historical facts and that relate to
future plans or events are "forward-looking statements" within the meaning of
the Private Securities Litigation Reform Act of 1995. These forward-looking
statements include, but are not limited to, statements regarding Amdocs'
intention to raise proceeds through the offering and sale of convertible senior
notes, the terms of the notes, the timing of and conditions of closing and the
amount and use of proceeds. There can be no assurance that Amdocs will complete
the offering on the anticipated terms or at









all. Amdocs' ability to complete the offering will depend, among other things,
on market conditions. Amdocs' actual results may differ materially from those
indicated or implied by the forward-looking statements. These include
uncertainties relating to market conditions for corporate debt securities in
general and the notes in particular as well as other factors discussed at
greater length in the Company's filings with the Securities and Exchange
Commission, including in its Annual Report on Form 20-F, filed on December 24,
2003, and in its Form 6-K filed February 17, 2004.

All forward-looking statements in this press release are based on information
available to Amdocs on the date hereof. All written or oral forward-looking
statements attributable to Amdocs or persons acting on Amdocs' behalf are
expressly qualified in their entirety by the factors referred to above. Amdocs
does not intend to update these forward-looking statements.

About Amdocs

Amdocs combines innovative software products and services with deep business
knowledge to deliver true integrated customer management to the world's leading
services companies. Our best-in-class billing and CRM products seamlessly link
all customer-facing business processes - marketing, sales, ordering, delivery,
fulfillment, billing, settlement, service, support, and analytics - resulting in
stronger, more profitable customer relationships. Amdocs enables its customers
to implement their business strategy with rapid return on investment, lower
total cost of ownership and improved operational efficiencies. A global company,
Amdocs employs approximately 9,000 IT professionals and serves customers in more
than 40 countries. Amdocs reported revenue of nearly $1.5 billion in fiscal
2003. For more information, visit Amdocs at www.amdocs.com.

Contact:
Thomas G. O'Brien
Treasurer and Vice President of Finance and Investor Relations
Amdocs Limited
314-212-8328
E-mail: dox_info@amdocs.com