They will perform at the city's O2 ABC on Monday, April 7 as part of a UK tour.
The band, who saw their new album Old Souls debut at number nine in the UK chart, are due to release new single Mildred on Tuesday, February 11.
Mildred has already been playlisted by Radio One and features band members James and Matthew Veck-Gilodi singing together for the first time.
The tour, which has had an extra London date added due to demand, kicks off in Norwich on Tuesday, April 1.
Tickets are available for £16.87 from www.livenation.co.uk