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



                       08 April, 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 08 April, 2004





Thursday, 8 April 2004


                                  BT GROUP PLC

                           TRANSACTION IN OWN SHARES

BT Group plc announces that it has today transferred to participants in its
employees share schemes 227,516 ordinary shares at prices between 139 pence and
154 pence per share.  The transferred shares were all formerly held as treasury
shares.

Following the above transfer, BT Group plc holds 44,121,484 ordinary shares as
treasury shares.  The total number of ordinary shares in issue (excluding shares
held as treasury shares) is 8,590,507,554.

END




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 08 April, 2004