FORM 6-K

                       SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                            Report of Foreign Issuer



                    Pursuant to Rule 13a - 16 or 15d - 16 of

                       the Securities Exchange Act of 1934



                         For the month of December 2004
                                10 December 2004



                       BRITISH SKY BROADCASTING GROUP PLC
                              (Name of Registrant)



                Grant Way, Isleworth, Middlesex, TW7 5QD England
                    (Address of principal executive offices)



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 whether the  registrant  by  furnishing  the  information
contained  in this  Form 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): Not Applicable

  

                                 EXHIBIT INDEX


                                    Exhibit

EXHIBIT NO.1    Press release of British Sky Broadcasting Group plc
                announcing Transaction in Own Shares released on 
                10 December 2004


BRITISH SKY BROADCASTING GROUP PLC - REPURCHASE OF SHARES

British  Sky  Broadcasting  Group  PLC  ("BSkyB")  announces  that it has  today
purchased  for  cancellation  500,000  ordinary  shares  of  BSkyB at a price of
557.8140p per share.

Upon the  cancellation  of these  shares,  the number of shares in issue will be
1,925,143,617.


                                   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.

  
                                         BRITISH SKY BROADCASTING GROUP PLC
  

Date: 10 December 2004                   By: /s/ Dave Gormley
                                             Dave Gormley
                                             Company Secretary