The trio, whose album "We'll Live And Die In These Towns" reached number one last year, will play on the Friday night of the three day Somerset based festival.
They will be the second to last band on the Other Stage with Panic At The Disco head-lining.
Tickets for the festival on June 27-29 have already sold out but the event will again be televised by the BBC.
You can catch The Enemy at the Coventry Godiva Festival on July 5th in the Memorial Park.