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 December, 2003


                                  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 December 2003


BT GROUP PLC

PURCHASE OF OWN SHARES

BT Group plc announces that it has today purchased for cancellation through
Merrill Lynch International 3,250,000 ordinary shares at an average price of
176.28 pence per share.


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 December, 2003