UNITED STATES SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                    FORM 8-K

                                 CURRENT REPORT
                       Pursuant to Section 13 or 15(d) of
                       The Securities Exchange Act of 1934

         Date of Report (Date of earliest event reported): June 27, 2005


                       NATIONAL SEMICONDUCTOR CORPORATION
             (Exact name of registrant as specified in its charter)

          DELAWARE                    1-6453             95-2095071
          --------                    ------             ----------
          (State of Incorporation)    (Commission        (I.R.S. Employer
                                      File Number)       Identification Number)


                    2900 SEMICONDUCTOR DRIVE, P.O. BOX 58090
                       SANTA CLARA, CALIFORNIA 95052-8090
                       ----------------------------------
                    (Address of Principal Executive Offices)

                                 (408) 721-5000

              (Registrant's telephone number, including area code)


Check  the  appropriate  box  below  if the  Form  8-K  filing  is  intended  to
simultaneously  satisfy the filing obligation of the registrant under any of the
following provisions (see General Instruction A.2. below):


[ ] Written communication  pursuant to Rule 425 under the Securities Act (17 CFR
230.425)

[ ] Soliciting  material  pursuant to Rule 14a-12 under the Exchange Act (17 CFR
240.14a-12)

[ ] Pre-commencement  communications pursuant to Rule 14d-2(b) under the Act (17
CFR 240.14d-2(b))

[ ] Pre-commencement  communications pursuant to Rule 13e-4(c) under the Act (17
CFR 240.13e-4(c))



NATIONAL SEMICONDUCTOR CORPORATION

Table of Contents


                                                                            Page

Section 8 - Other Events
- ------------------------

Item 8.01         Other Events                                                 3

Section 9 - Financial Statements and Exhibits
- ---------------------------------------------

Item 9.01         Financial Statements and Exhibits                            3

Signature                                                                      4

Exhibits:
  99.1    News release dated June 27, 2005




NATIONAL SEMICONDUCTOR CORPORATION

Item 8.01       OTHER EVENTS

     On June 27, 2005, National Semiconductor  Corporation announced that it has
finalized the sale of its cordless business unit to HgCapital,  a private equity
investor based in London,  UK. A copy of the news release is attached as Exhibit
99.1.

The  information  contained  in  Exhibit  99.1 shall not be deemed  "filed"  for
purposes of Section 18 of the Securities  Exchange Act of 1934, as amended,  nor
shall it be deemed  incorporated by reference in any filing under the Securities
Act of 1933, as amended.

Item 9.01       FINANCIAL STATEMENTS AND EXHIBITS

        (c ) Exhibits
             --------

Exhibit No.     Description of Exhibit
- -----------     ----------------------

   99.1         News release dated June 27, 2005 issued by National
                Semiconductor Corporation*

*This  exhibit is intended to be furnished  and shall not be deemed  "filed" for
purposes of the Securities Exchange Act of 1934, as amended.





                                   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 hereunto duly authorized.

                                     NATIONAL SEMICONDUCTOR CORPORATION

Dated:  June 28, 2005                //S// Jamie E. Samath
                                     ---------------------
                                     Jamie E. Samath
                                     Corporate Controller
                                     Signing on behalf of the registrant and
                                     as principal accounting officer



                                                                    Exhibit 99.1

News Media:                               Financial:
Jeff Weir                                 Long Ly
National Semiconductor                    National Semiconductor
(408) 721-5199 or (408) 242-4827          (408) 721-5007
jeff.weir@nsc.com                         invest.group@nsc.com
- -----------------                         --------------------

National Semiconductor Completes Sale of Cordless
Business to HgCapital, a Private Investment Group in London


SANTA  CLARA,  CALIF.,  June  27,  2005  -  National  Semiconductor  Corporation
(NYSE:NSM) today announced that it has closed the sale of its cordless  business
unit to HgCapital,  a private equity  investor based in London,  UK. The sale of
this unit, which was initially disclosed May 17 with the signing of a definitive
agreement,   is  consistent  with  National's   ongoing  focus  on  core  analog
businesses.

The  business  unit's  products  include  baseband  and radio  transceivers  for
cordless telephones and basestations as well as cordless voice modules.

Pursuant to the sale, HgCapital acquired intellectual property and assets of the
cordless  unit and  approximately  70 employees  based in  's-Hertogenbosch  and
Hengelo, The Netherlands. National will continue to provide manufacturing, sales
and infrastructure support during a transition period.

National  and  HgCapital  announced  on May 17 that they had signed a definitive
agreement on the transaction  and,  further,  that they anticipated to close the
deal during the first quarter of National's 2006 fiscal year,  which started May
31, 2005.

National's financial release and conference call for the first quarter of fiscal
2006,  which ends August 28, are  scheduled  for  September 8, 2005.  During the
conference call, the company will discuss financial results and forward outlook,
including the impact from the sale of this business.




About National Semiconductor
National  Semiconductor,  the industry's  premier analog  company,  creates high
performance  analog devices and  subsystems.  National's  leading-edge  products
include  power  management  circuits,  display  drivers,  audio and  operational
amplifiers,  communication  interface  products and data  conversion  solutions.
National's key analog markets include wireless handsets,  displays and a variety
of broad electronics markets,  including medical,  automotive,  industrial,  and
test and measurement  applications.  Headquartered  in Santa Clara,  California,
National  reported  sales of $1.91 billion for fiscal 2005,  which ended May 29,
2005.   Additional   company   and   product   information   is   available   at
www.national.com.