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
                     OF THE SECURITIES EXCHANGE ACT OF 1934

For the month of April 2004

Commission File Number:  0-30628


                                  ALVARION LTD.
 ------------------------------------------------------------------------------
                 (Translation of registrant's name into English)

                   21A Habarzel Street, Tel Aviv 69710, Israel
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                     (Address of principal executive office)

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 if the registrant is submitting the Form 6-K in paper
as permitted by Regulation S-T Rule 101(b)(1): ____

Indicate by check mark if the registrant is submitting the Form 6-K in paper
as permitted by Regulation S-T Rule 101(b)(7): ____


Indicate by check mark whether by furnishing the information contained in this
Form, the registrant 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 below the file number assigned to the registrant
in connection with Rule 12g3-2(b): 82-___________



The following are included in this report on Form 6-K:

                                                         Sequential
        Exhibit            Description                   Page Number
        -------            -----------                   -----------

       1.         Press release, dated April 29, 2004           3






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                                                                       EXHIBIT 1


Contacts
Dafna Gruber, CFO             Carmen Deville
+972 3 645 6252               +760-517-3188
+760-517-3187
dafna.gruber@alvarion.com     carmen.deville@alvarion.com
-------------------------     ---------------------------


                                                           FOR IMMEDIATE RELEASE


       Telecom Veteran Dr. David Kettler Joins Alvarion Board of Directors
       -------------------------------------------------------------------

                                   - - - - - -

               Broadband technology expert and IEEE Fellow elected
                          at Annual Shareholder Meeting



Tel Aviv, Israel April 29, 2004 - Alvarion, the global leader in wireless
broadband solutions, today announced that Dr. David Kettler, a broadband
technology expert and telecom industry consultant from Atlanta, GA, has been
elected to the Board of Directors at the Annual Shareholder Meeting held
yesterday in Tel Aviv.

Dr. Kettler served as the BellSouth Vice President in charge of the Science and
Technology organization and Chief Architect for the BellSouth Network until his
retirement in 2000. His distinguished career also includes 15 years at AT&T Bell
Laboratories and in Strategic Planning at AT&T corporate headquarters. He has
been actively engaged in numerous university/industry activities, has led
consortia projects and facilitated technology transfer from research
laboratories to commercialization.

"We are privileged to have David Kettler join our board," said Anthony Maher,
Chairman of Alvarion. "He brings a wealth of experience that will be a
tremendous asset to this growing company. With the addition of Dr. Kettler we
are continuing the


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development of a strong board with global experience and a broad mix of
technical, business, and financial expertise".

About Alvarion
Alvarion is dedicated to delivering seamless wireless broadband networking
infrastructure to carriers, ISPs and private network operators, in order to
leverage their broadband opportunities into sustainable profits. Alvarion offers
premier wireless broadband solutions for access in the last mile, backhauling
connection to the backbone and private network connectivity. Featuring the
industry's most extensive range of products and international support, Alvarion
is a pioneering leader of the converged wireless broadband network. With over
1.5 million units deployed in 120 countries worldwide, Alvarion provides secure
rich-media networks for business or residential Internet access, corporate VPNs,
cellular base station feeding, community interconnection, public safety
connectivity and extended Hotspots.

Having recently acquired InnoWave's wideband access portfolio and expertise,
Alvarion provides a complete wireless solution that supports a wide range of
frequency bands, customer profiles and service types.

This press release contains forward -looking statements within the meaning of
the "safe harbor" provisions of the Private Securities Litigation Reform Act of
1995. These statements are based on the current expectations or beliefs of
Alvarion's management and are subject to a number of factors and uncertainties
that could cause actual results to differ materially from those described in the
forward -looking statements. The following factors, among others, could cause
actual results to differ materially from those described in the forward-looking
statements: inability to further identify, develop and achieve success for new
products, services and technologies; increased competition and its effect on
pricing, spending, third-party relationships and revenues; as well as the
inability to establish and maintain relationships with commerce, advertising,
marketing, and technology providers and other risks detailed from time to time
in filings with the Securities and Exchange Commission.
Information set forth in this press release pertaining to third parties has not
been independently verified by Alvarion and is based solely on publicly
available information or on information provided to Alvarion by such third
parties for inclusion in this press release. The web-sites appearing in this
press release are not and will not be included or incorporated by reference in
any filing made by Alvarion with the Securities and Exchange Commission which
this press release will be a part of.

You may request Alvarion's future press releases or a complete Investor Kit by
contacting Carmen Deville, Investor Relations: carmen.deville@alvarion.com or
760-517-3188


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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.


                                    ALVARION LTD.



Date: April 29, 2004                By: /s/ Dafna Gruber
                                       ----------------------------
                                    Name:  Dafna Gruber
                                    Title: Chief Financial Officer



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