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 January 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 January 27, 2003               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



 INCUMBENT OPERATOR TELECOM NAMIBIA PLACES FOLLOW-ON ORDER FOR ALVARION SYSTEMS
 ------------------------------------------------------------------------------
                               VALUED AT OVER $1M
                               ------------------

                                     ------

       Already Deployed Successfully in 15 Sites, National Carrier Extends
                     Alvarion Network to 3 Additional Sites

                                     ------

           TEL - AVIV, ISRAEL, JANUARY 27, 2004 - ALVARION LTD. (NASDAQ: ALVR),
the global leader in wireless broadband solutions, announced today that Telecom
Namibia has placed a follow-on order worth over $1M for Alvarion MGW systems
operating in the 3.5GHz band. Telecom Namibia first chose MGW in 2000 to bring
affordable Toll Quality Voice and Voice-Band Data to many of its service areas.
Delighted with its performance throughout Namibia's capital city, Windhoek,
Mariental, and other urban and rural areas, it is now expanding the deployment
to 3 additional sites in Northern Namibia.

Established in 1992, Telecom Namibia Ltd. is wholly owned by the Government of
the Republic of Namibia and is the country's leading supplier of voice, text,
data, and video solutions.

Commenting on the news, Mr. Heinrich Bader, General Manager, Network
Development, Implementation & Technology Operations of Telecom Namibia said,
"Our choice of Alvarion's excellent technology was based on three factors: its
suitability for supporting both telephony and data services, its attractive
performance, and Alvarion's reputation for excellent professional services. Our
experience over the last two years has exceeded our expectations in each of
these realms. The network has proven to be quick and affordable to set up,
performs flawlessly, and the dedicated support has made all the difference. As
we extend our toll-quality services to new regions, we have also begun to
investigate Alvarion's entire product portfolio with an eye towards bringing
wireless broadband access services to Namibia."


                                       3

Tzvika Friedman, President and COO of Alvarion, added, "We are pleased that our
products have delivered such value to Telecom Namibia, and look forward to
continued cooperation with this important incumbent operator. Our growing
relationship with Telecom Namibia demonstrates that our combination
voice-and-data offerings are winning solutions for developing regions like
Africa. With the broadest portfolio of broadband wireless solutions available,
we give telco's an unparalleled variety of options for establishing new
infrastructure quickly and affordably. We are excited that Telecom Namibia has
begun evaluating ways to take advantage of additional Alvarion solutions, and
are working to ensure the complete success of their new network deployment."

                                      # # #

ABOUT TELECOM NAMIBIA
---------------------
Telecom Namibia Ltd., the national telecommunications operator of the Republic
of Namibia, is wholly owned by the Government of the Republic of Namibia, and
functions commercially as a subsidiary of Namibia Post and Telecom Holdings Ltd.
A customer-oriented company, Telecom Namibia is Namibia's leading supplier of
voice, text, data and video solutions, which it offers via Namibia's largest
Digital Telecommunication Network.

For more information, visit Telecom Namibia's website at http://www.telecom.na

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.

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


                                       4

This press release may contain 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 REGISTER TO RECEIVE ALVARION'S FUTURE PRESS RELEASES OR AN INVESTOR
     KIT INCLUDING 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: January 27, 2004                     By: /s/ Dafna Gruber
                                               ---------------------------------
                                           Name:   Dafna Gruber
                                           Title:  Chief Financial Officer




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