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



                            8 June 2004


                        BT Group plc
         (Translation of registrant's name into English)


           BT Centre
           81 Newgate Street
           London
           EC1A 7AJ
           England

           (Address of principal executive offices)



Indicate by check mark whether the registrant files or will file annual
reports under cover 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): 82- ________



Enclosures:  1.  Transaction in Own Shares announcement made on 8 June 2004



Tuesday, 8 June 2004


                                  BT GROUP PLC

                           TRANSACTION IN OWN SHARES

BT Group plc announces that it has today purchased through Cazenove & Co. Ltd
4,330,000 ordinary shares at a price of 185.43 pence per share. The purchased
shares will all be held as treasury shares.

Following the above purchase, BT Group plc holds 53,951,225 ordinary shares as
treasury shares. The total number of ordinary shares in issue (excluding shares
held as treasury shares) is 8,580,677,813.



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.


BT Group PLC
(Registrant)


By: /s/ Patricia Day
--------------------
Patricia Day, Assistant Secretary. Head of Shareholder Services


Date 8 June, 2004