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 October 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 is included in this report on Form 6-K:

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

       1.         Press release, dated October 19, 2004          4








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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: October 19, 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


                TELKOM SA EXPANDS ITS ALVARION WIRELESS BROADBAND
                 NETWORK WITH DEPLOYMENT OF AN ADDITIONAL ORDER

        -- Carrier is Expanding and Upgrading 1.9GHz Networks to Enhance
                     Services in Suburban and Rural Areas -
                                       ---

Tel-Aviv, Israel, October 19, 2004 - Alvarion Ltd. (NASDAQ:ALVR), the leading
provider of wireless broadband solutions worldwide, today announced that Telkom
SA Limited, South Africa's largest operator, has placed additional orders for
MGW(TM) equipment to complete a country-wide, wireless network infrastructure
project initiated in 2003. Telkom SA is an advanced Tier 1 incumbent providing
fixed and mobile voice and data services. Grintek Telecom, Alvarion's regional
distribution partner, is responsible for supply, installation and local support.

Over the past year, Alvarion's 1.9GHz systems have been deployed in five
communities (Hekpoort, Pretoria, Upington, Bloemfontein and Grahamstown) to
provide top quality service to SOHO and residential customers. Now, additional
systems are being installed in suburban and rural areas lacking in existing
telecom infrastructure and to upgrade others requiring replacement systems.

"The MGW(TM) platform is ideal for an operator like Telkom," said Srini Moodley,
responsible for Grintek Telecom's Executive Marketing and Business Development.
"As a wireless system, it is quick and cost-effective to install, both at the
base station and user side, and can reach regions where fixed-lines have been
prohibitively expensive to deploy."

"Like so many operators, Telkom knows well that a wireless system is the best
way to increase teledensity, fill coverage gaps in its service areas, and bring
basic voice and fast Internet services to underserved regions," said Tzvika
Friedman, President and COO of Alvarion. "As the world's leading provider of
broadband wireless solutions, we are in the forefront of fulfilling worldwide
demand for broadband as a fundamental prerequisite for commerce and education."

                                       ###

About Telkom SA
Telkom SA Limited is South Africa's leading integrated communications group that
provides total solutions across the full spectrum of digital communications to a
diverse customer base. The




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network fully ATM enabled and can provide voice and data links across a number
of technologies both local, and to destinations worldwide. The company also
offers a wide range of digital services including data hosting, state-of-the-art
network security, full Internet services, an e-marketplace and a full range of
PBXs and value added communication products. Visit: www.telkom.co.za

About Grintek Telecom
Grintek Telecom, a division of JSE-listed Grintek Ltd, is one of South Africa's
leading empowerment IT and telecommunications solutions and integration
companies. Grintek Telecom provides tailored and innovative IT solutions from
initial project and business requirement consulting, through to implementation,
integration and ongoing support. Its telecommunications solutions have been
implemented in more than 500 top South African companies; in addition, it
provides solutions, services and maintenance in 23 African countries.

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 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


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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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