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



                                  3 March, 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 3 March 2004


                                  BT GROUP PLC

                            TRANSACTION IN OWN SHARES

BT Group  plc  announces  that it has  today  purchased  through  Merrill  Lynch
International  3,937,000  ordinary  shares at a price of 178.42 pence per share.
The purchased shares will all be held as treasury shares.

Following the above purchase,  BT Group plc holds 16,699,000  ordinary shares as
treasury shares.  The total number of ordinary shares in issue (excluding shares
held as treasury shares) is 8,617,930,038.


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 3 March, 2004