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 March 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 March 10, 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


                 CERTEL, BRAZILIAN ELECTRIC UTILITY, TO DEPLOY
                 ---------------------------------------------
                         ALVARION WIRELESS DSL SOLUTION
                         ------------------------------


TEL-AVIV, ISRAEL, MARCH 10, 2004 - Alvarion Ltd. (NASDAQ: ALVR), a leading
provider of wireless broadband solutions, today announced that CERTEL (Regional
Electrification Cooperative of Teutonia Ltda.), an electric utility in Brazil's
Vale do Taquari region, has begun deploying Alvarion's BreezeACCESS(TM) Wireless
DSL solution in Lajeado and surrounding cities. Using the advanced network,
CERTEL will provide high-speed Internet access and Voice over IP (VoIP) services
utilizing the unlicensed 2.4 GHz frequency bands to its business and commercial
customers.

"Although Brazil is developing rapidly, many regions still lack high-speed
Internet access, and some even lack basic access services," said Alberto
Sindelar, Managing Director of CERTEL. "Alvarion's versatile broadband wireless
technology allows us to turn our existing infrastructure into a cost-effective
way to fill the telecom service gap, providing costumers with high quality
services and low prices. We plan to install Alvarion base stations quickly on
our towers, and then to begin offering revenue-generating services to both
business and residential customers."

Tzvika Friedman, President and COO of Alvarion, added, "We are pleased that
CERTEL, like a growing number of utility companies and cellular carriers,
recognizes the potential of the broadband wireless business model to supply the
need for broadband in the underserved areas. Our solutions for the unlicensed
bands make it easy to launch Wireless DSL and voice services rapidly and
inexpensively. We are proud to add CERTEL as one of our customers, and look
forward to spreading the concept to other power companies throughout Brazil."

ABOUT CERTEL

Founded in 1956, CERTEL (Cooperativa Regional de Eletrificacao Teutonia Ltda) is
Brazilian electricity cooperative. CERTEL provides services in 47 cities to some
38 thousand users. Its 263 employees work from the cooperative's administrative
headquarters in Teutonia and its regional offices in Taquara and Lajeado. CERTEL
continuously invests in upgrading its infrastructure and training its employees
with the objective of improving the services it offers its customers. In
addition, CERTEL is expanding its range of services to include
telecommunications services.

For more information, visit CERTEL's website: www.certel.com.br
                                              -----------------

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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: March 10, 2004                            By:     /s/ Dafna Gruber
                                                     ---------------------------
                                                Name:   Dafna Gruber
                                                Title:  Chief Financial Officer





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