They will bring in the new year at the Concert in the Gardens, the showpiece event of the capital's celebrations.
It comes after the band's Hogmanany gig in the capital was cancelled in 2006/07.
Band member Neil Tennant, said he was "delighted" about the New Year's Eve concert. He added: "We've always felt we've had some unfinished Hogmanay business in Edinburgh after the weather put a stop to the planned 2006 show."
Pete Irvine, Artistic Director of Edinburgh's Hogmanay, said:"They are the perfect band to help us celebrate our 21st anniversary."
Revellers can purchase tickets for Concert in the Gardens from 10am on Friday at www.edinburghshogmanay.com or by calling the Box Office on 0844 573 8455. Tickets can also be bought in person at The Fringe Office, 180 High Street, Edinburgh.