The International Paralympic Committee announced the news via Twitter today (May 20).
The band's frontman Chris Martin said: "Being asked to play at the closing celebrations for the Paralympic athletes in London is a great honour for us.
"It will be a spectacular closing ceremony for the athletes and spectators in the stadium and everyone watching around the world and we're so happy to be involved.
"It will be one of the biggest nights in our lives and we're very excited to try and create a performance for the last night of the Games that will close London 2012 in style."
The closing ceremony - called the 'Festival of Flame' - takes place on Sunday, September 9 at the Olympic Stadium in Stratford.
International Paralympic Committee president Sir Philip Craven said that he is confident that the 2012 Paralympics will be "best Games ever".
"Athletes are delivering record breaking performances on a regular basis and ticket sales are the best yet, so far out from the Games," he said.
"Add Coldplay into that mix and I think the ingredients for there best ever Games are coming together."
Some 4,200 athletes from 165 countries will compete at the London 2012 Paralympics, which kick off on August 29. The remaining tickets will go back on sale from 11am tomorrow (May 21).
Watch Coldplay perform a cover of 'Fight For Your Right' in honour of late Beastie Boys member Adam Yauch below: