The band will play Manchester Arena on April 6 and the 02 Arena in London on April 16.
Elbow have also announced that their new album will be coming out on March 10 and Pete from the band told XFM's Sunta Templeton it is important to them that the date is now out there.
"It's tweaks and then mixing and then we'll be finished in probably a month and a half or something. That's the plan. In fact that has to happen. We need that, our band needs that sometimes, we need deadlines 'cause we could just carry on forever."
The as yet untitled record will come out almost exactly three years after last album Build A Rocket Boys and six years after The Seldom Seen Kid.
"Seldom was pretty grand so with Build we kind of took it down a but and relaxed a little bit," Pete said.
"With this one it's definitely a lot more experimental. We've let the songs breathe so there's quite a few songs that are quite long because we wanted to let them go where they needed to go.
"There a lot of space on it and it's definitely a lot more experimental than previous albums."
The band are also releasing their first ever live DVD - called Live At Jodrell Bank - which consists of two CDs and a DVD covering the entire performance at the Cheshire Observatory, as well as a documentary of the event featuring interviews with the band and backstage footage.
The April tour dates are:
Saturday 5 - Birmingham LG Arena
Sunday 6 - Glasgow SSE Hydro
Tuesday 8 - Cardiff Motorpoint Arena
Wednesday 9 - Manchester Phones 4U Arena
Friday 11 - Leeds First Direct Arena
Saturday 12 - Liverpool Echo Arena
Monday 14 - Nottingham Capital FM Arena
Wednesday 16 - London The O2
Tickets go on sale this Friday morning at 9.