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 December 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 December 6, 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: December 6, 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


              MEXICAN CARRIER CHOOSES SIEMENS-ALVARION FOR WIRELESS
                   BROADBAND NETWORK TARGETING BUSINESS USERS
                                     ------

Tel Aviv, Israel, December 6, 2004 - Alvarion Ltd., (NASDAQ: ALVR), the world's
leading provider of wireless broadband solutions today announced that an
alternative carrier is deploying a new network in the 10.5Ghz band using the
field-proven Alvarion WALKair(TM) 1000 solution. Siemens Mexico will install the
network in a multi-phase effort and provide ongoing local support. With the
first and second stages of the project underway, Alvarion has received equipment
orders totaling approximately $1.7 million to date.

By deploying the WALKair 1000 in the 10.5GHz frequency bands, the carrier is
able to launch a range of new services targeting corporate and SME customers and
take advantage of the system's cost-effective backhauling capabilities.

"Once again, the Siemens-Alvarion partnership is proving to be a winning
combination," said xxx, xxx of Siemens Mexico. "Together, with proven products
and the world's most extensive wireless broadband deployment experience, we
deliver smooth network installation and rapid deployment of high-quality,
cost-effective services."

The WALKair 1000 is a high-capacity, multi-service platform for
point-to-multi-point solutions. In a single platform, the WALKair combines all
communication and information technologies, including IP, Ethernet, Frame Relay,
Leased Line, multi-POTS and ISDN.

"This deployment with this well-positioned carrier is indicative of the
significant success we continue to have with operators throughout Latin America
as they increasingly realize that wireless broadband is the best and most
cost-effective method to deliver broadband services to end users," added Zvi
Slonimsky, CEO of Alvarion. "In addition, this is yet another example of the
strength of our seven-year strategic partnership with Siemens and we see as a
vital contribution to our leadership of the BWA marketplace."

                                       ###


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About Siemens ICN and Siemens Mexico
Siemens Information and Communication Networks (ICN) is a leading global
provider of communication solutions for enterprises and carriers. Its portfolio
ranges from real-time IP-based applications, IP convergence solutions and
broadband access systems to optical transport networks. ICN also provides
consulting and services. With its innovative LifeWorks concept, ICN is
developing a uniform platform that transcends the boundaries of corporate, fixed
and mobile network, enabling providers to offer new services and enterprises to
boost productivity. ICN posted sales of 7.1 billion euros in fiscal 2003
(year-end September 30) and employed 33,000 people.

In Mexico, Siemens began its activities more than 100 years ago. With
headquarters in Mexico City, Siemens Mexico employs some 9,500 employees in 14
branches and a number of manufacturing centers. For more information, visit
Siemens' World Wide Web sites at www.siemens.com/networks/ and
www.siemens.com.mx

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



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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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