FORM 6-K

SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

Special Report of Foreign Issuer

Pursuant to Rule 13a - 16 or 15d - 16 of
The Securities and Exchange Act of 1934

For the date of July 19, 2006

SIGNET GROUP plc
(Translation of registrant's name into English)

15 Golden Square
London W1F 9JG
England
(Address of principal executive office)

Indicate by check mark whether the registrant files or will file annual reports under cover Form 20-F or Form 40F.

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-

Signet Group plc - Buyback of its own Shares

Signet Group plc ("Signet") announces that it has purchased the following number
of its ordinary shares of 0.05p each on the London Stock Exchange from Deutsche
Bank AG London Branch.

Date of purchase: 19 July 2006

Number of ordinary shares purchased: 750,000

Average price paid per share: 95.45p

Following the cancellation of these shares, the remaining number of Ordinary
Shares of Signet will be 1,739,601,451.

Inquiries:

Tim Jackson +44 207 317 9711

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.

                                                                 SIGNET GROUP plc

                                                             By: /s/ Walker Boyd

                                                              Name: Walker Boyd
                                                                          Title: Group Finance Director

Date:   July 19, 2006