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 August 2004

Commission File Number:  0-30628


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

                   21A Habarzel Street, Tel Aviv 69710, Israel
--------------------------------------------------------------------------------
                     (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 August 2, 2004            3



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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: August 2, 2004                By: /s/ Dafna Gruber
                                       ---------------------------------
                                    Name:  Dafna Gruber
                                    Title: Chief Financial Officer




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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




           BRITISH TELECOM BUILDS ON RADIO BROADBAND TRIALS TO ENHANCE
          100% BROADBAND COVERAGE PROPOSITION USING ALVARION EQUIPMENT

             BT places order with Alvarion following successful bid
            to bring complete broadband coverage to Northern Ireland
                                   ----------

Tel-Aviv, Israel, August 2, 2004 - Alvarion Ltd. (NASDAQ: ALVR) has announced
that BT's trials of its Radio Broadband (Broadband Wireless Access) technology
have been successfully concluded, and that BT has signed an initial contract
with Alvarion to help bring the solution to market. An initial order has already
been placed by BT, for equipment for its first sites in Northern Ireland.


Northern Ireland is set to be the first region to deploy Radio Broadband,
following a DETI contract awarded to BT on March 29, to provide 100% broadband
coverage in Northern Ireland by December 2005. Radio Broadband will be an
integral part of this total coverage solution.

The network pilots were conducted in Porthleven (Cornwall), Pwllheli (Wales),
Ballingry (Scotland) and Campsie (Northern Ireland).

Feedback on the trials was positive, with 73% of trialists extremely or very
satisfied with the product. 89% of those involved in the trial also indicated
that they would be interested in subscribing on a permanent basis. It is likely
that radio broadband will play a key part in addressing those 565 exchanges
across the UK where ADSL is not commercially viable, working with partners to
provide the most cost effective technical solution.

"Radio broadband provides another innovative way for BT to provide
ADSL-equivalent services in areas where our wireline infrastructure cannot
reach," said Chet Patel, General Manager of Internet Access products at BT.
"Feedback from the trials was incredibly positive both in terms of ease of use,
and suitability for the job. Based on this, we're confident that the product
will begin to meet the needs of more remote broadband users, where we are able
to deploy this technology."


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"After 10 years of field deployments, wireless broadband is now a mainstream
access technology," said Zvi Slonimsky, CEO of Alvarion. "In the near future,
the proliferation of WiMAX-Certified systems will usher in the era of
mass-market radio broadband equipment, delivering both economical and
performance benefits to everyone from operators to end users. Alvarion continues
to be at the forefront of innovation, and our leadership position is confirmed
by our relationships with the likes of BT, not to mention our strong and diverse
customer base."

About BT
BT Group plc is the listed holding company for an integrated group of businesses
providing voice and data services in the UK and overseas, particularly in
Europe, but also in the Americas and the Asia Pacific region. British
Telecommunications plc, a wholly-owned subsidiary of BT Group plc, holds
virtually all businesses and assets of the BT group.

BT is one of Europe's leading providers of telecommunications services. Its
principal activities include local, national and international
telecommunications services, higher-value broadband and internet products and
services, and IT solutions. In the UK, BT serves over 20 million business and
residential customers with more than 29 million exchange lines, as well as
providing network services to other licensed operators.

BT consists principally of three lines of business:

o     BT Retail, serving businesses and residential customers and including BT
      Openworld, one of the UK's leading ISPs.

o     BT Wholesale, providing network services and solutions within the UK,
      including ADSL, conveyance, transit, bulk delivery of private circuits,
      frame relay and ISDN connections.

o     BT Global Services, BT's managed services and solutions provider, serving
      multi-site organisations worldwide. Its core target market is the top
      10,000 global multi-site organisations with European operations.

There are a number of other businesses within the BT group, including BT Exact,
an internationally renowned centre of excellence in IT and networking
technologies. It is also BT's technology and research and development business.

In the year ended 31 March 2004, BT's turnover was (pound)18,519million with
profit before goodwill amortisation, exceptional items and taxation of
(pound)2,016million.

For more information, visit www.bt.com

About Alvarion
With more than 2 million units deployed in 130 countries, Alvarion is the
worldwide leader in wireless broadband providing systems to carriers, ISPs and
private network operators. Leading the WiMAX revolution, Alvarion has the most
extensive deployments and proven product portfolio in the industry covering the
full range of frequency bands. Alvarion's products enable the delivery of
business and residential broadband access, corporate VPNs, toll quality
telephony, mobile base station feeding, Hotspot coverage extension, community
interconnection, and public safety communications. Alvarion works with several
top OEM providers and over 200 local partners to support its diverse global
customer base in solving their last-mile challenges.

As a wireless broadband pioneer, Alvarion has been driving and delivering
innovations for over 10 years from core technology developments to creating and
promoting industry standards. Leveraging its key roles


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in the IEEE and HiperMAN standards committees and experience deploying
OFDM-based systems, the company's prominent work in the WiMAX ForumTM is focused
on increasing widespread adoption of standards-based products in the wireless
broadband market.

For more information, visit Alvarion's World Wide Web site at www.alvarion.com

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 in
ability 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
+1-760-517-3188.



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