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 November 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 November 4, 2004            4
       2.         Press release, dated November 11, 2004           7






                                       2



                                   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: November 15, 2004             By: /s/ Dafna Gruber
                                       -----------------------------------
                                    Name:  Dafna Gruber
                                    Title: Chief Financial Officer





                                       3




                                         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


             IRISH BROADBAND EXPANDS ITS ALVARION BROADBAND WIRELESS
                       NETWORK, ADDS WIMAX-READY SYSTEMS

   Orders for BreezeMAX(TM) and Breeze ACCESS(TM)VL total over US $1.4 million

                                       ---

Tel-Aviv, Israel and Dublin, Ireland, November 4, 2004- Alvarion Ltd. (NASDAQ:
ALVR), the world's leading provider of wireless broadband solutions, today
announced the receipt of follow-on orders valued at $1.4 million from Irish
Broadband, for both BreezeACCESS VL and BreezeMAX, Alvarion's WiMAX-ready
platform.

Irish Broadband will be using BreezeACCESS VL to expand an existing
Alvarion-based network operating in 5.7GHz, while they will use their recently
awarded 3.5 GHz licenses to deploy the BreezeMAX 3500. BreezeMAX will enable
Irish Broadband and their subscribers to enjoy the benefits of WiMAX technology
that include high service quality with Non-Line-of-Sight (NLOS) functionality
plus long-term cost effectiveness.

Irish Broadband is a competitive local exchange carrier (CLEC) that currently
serves business and residential customers in Dublin, Cork and Derry in Northern
Ireland. The BreezeMAX network will extend coverage to the cities of Dundalk,
Drogheda, Galway, Limerick, and Waterford.

Launched in May 2003, Irish Broadband's wireless broadband network was built
originally in the 2.4GHz spectrum using Alvarion's BreezeACCESS(TM) II
equipment. Leveraging the success of that network, in October 2003, Irish
Broadband began expanding into the unlicensed 5.7GHz spectrum using Alvarion's
new OFDM system, BreezeACCESS VL. The 5.7GHz network was rolled out alongside
the 2.4GHz network with 5.7GHz base stations also being used to backhaul 2.4GHz
base stations for increased range.

Paul Doody, Managing Director of Irish Broadband, commented, "There's no doubt
that WiMAX is the future for operators building broadband wireless access
networks. WiMAX will lower the prices of CPEs - savings we will be able to pass
onto our customers. BreezeMAX is a natural evolution and standardization of the
Alvarion technology, which we have been successfully using for 16 months.
Alvarion is most definitely our vendor of choice."


                                       4



Zvi Slonimsky, CEO of Alvarion, said, "Irish Broadband is an important customer
who understands that installing our BreezeMAX plots a clear roadmap to the
future in the WiMAX revolution. As a result, their customers are getting access
to affordable broadband connections and the latest networking services. Yet
again, the lure of WiMAX is proving to be as strong as we anticipated."

                                       ###

About Irish Broadband
Irish Broadband is a subsidiary of NTR plc, Ireland's leading private sector
developer, financier and operator of public and environmental infrastructure. In
July 2002, Irish Broadband received a license to operate wireless broadband
networks from Ireland's ComReg (Commission for Communications Regulation -
previously ODTR). Since then the company has deployed an aggressive network
rollout and customer acquisition.

Irish Broadband is the first company to introduce guaranteed broadband
connection speeds, offering wireless leased lines equivalent quality at DSL
prices. DSL connections are shared with between 24 and 48 other users. Irish
Broadband customers only share the service with between 4 and 8 other users, so
customers have superior speeds, and quality of service. Irish Broadband is
focused on providing superior customer service across the full range of
broadband and ISP products. 
For more information, visit www.irishbroadband.ie

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


                                       5



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.




                                       6



                                    EXHIBIT 2

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

         AMA*TechTel Crosses 6,000th Alvarion CPE Milestone, Maintaining
      Position as North America's Top Regional Wireless Broadband Carrier

                                   - - - - - -

     Network now serves over 30,000 customers and covers 25,000 square miles


Tel Aviv, Israel; Carlsbad, CA USA; Amarillo, TX, USA - November 11, 2004 -
Alvarion Ltd, (NASDAQ: ALVR), the global leader in wireless broadband solutions,
today announced that AMA*TechTel of Amarillo, Texas has completed deployment of
the 6,000th Alvarion customer premise equipment (CPE). The size of AMA*TechTel's
network, which covers 25,000 contiguous square miles and services approximately
150 Texas communities, now includes over $4M of Alvarion equipment.

            AMA*TechTel employs Alvarion's Complete Spectrum solution of
Alvarion's industry-leading BreezeACCESS(TM) broadband wireless access
equipment, taking advantage of multiple unlicensed frequency bands, including
2.4GHz and 5.8GHz. For example, AMA*TechTel has expanded capacity to existing
scaled cells using BreezeACCESS VL, Alvarion's non-line-of-sight, pre-WiMAX
multipoint solution for unlicensed 5GHz bands.

            With a customer split of 70 percent residential and 30 percent
business, AMA*TechTel offers multiple services such as broadband internet
access, email, web hosting, virtual private networking, DSL, ISDN, and bundled
VoIP and data.

            "We originally selected and continue to use Alvarion solutions to
maintain the lead in the last-mile market," said Lehmer Dunn, president of
AMA*TechTel. "Competing against the established cable and telephone operators in
our region, it is essential to find a network solution enabling swift and
cost-effective entry, as well as ongoing technology leadership." He added, "In
addition, the equipment deployed has to


                                       7



reflect our commitment to uphold our reputation for providing excellent service
at a low cost to subscribers."

            "AMA*TechTel's network is built from a solid commitment to excellent
service coupled with BreezeACCESS' superior features, flexibility, and ease of
integration," said Amir Rosenzweig, President of Alvarion, Inc. "This synergy
has spurred AMA*TechTel's business to continue to grow and even thrive, despite
heavy competition from DSL and cable operators in the area."


                                       ###


About AMA*TechTel
AMA*TechTel is one of the largest locally-owned telecommunications providers in
West Texas. AMA* TechTel provides telephone services and wireless connectivity,
web site services, web site hosting, e-mail services, network administration,
data protection, telephone systems, cabling, and wireless networking, advanced
software solutions from Accounting and CRM to POS solutions. AMA*TechTel
telephone services include local dial tone, long distance, calling cards, T-1
lines, ISDN and Primary Rate Interfaces. Recognized as operating a world class
secure network with guaranteed uptime and advanced services such as Virtual
Private Networks (VPNs).

AMA*TechTel began with one computer and an idea for a community bulletin board
back in 1995 and has grown to serve more than 30,000 customers. The company now
employs over 100 committed individuals from Amarillo, Lubbock, and Midland,
Texas. For more information, visit www.amatechtel.com/services/


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.


                                       8



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.




                                       9