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 June, 2006
                                30 June, 2006



                       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
                30 June, 2006


30 June 2006


           BRITISH SKY BROADCASTING GROUP PLC - REPURCHASE OF SHARES


British Sky Broadcasting Group PLC ("BSkyB") announces that it has today
purchased for cancellation 1,500,000 ordinary shares of BSkyB at a price of
570.440889p per share.


Upon the cancellation of these shares, the number of shares in issue will be
1,788,175,426.


ENDS


                                   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: 30 June, 2006                  By: /s/ Dave Gormley
                                             Dave Gormley
                                             Company Secretary