It is believed Mick Jagger, 68, Keith Richards, 68, Ronnie Wood, 65 and Charlie Watts, 71, will all play on the Pyramid stage during the coveted Sunday night headline slot after talks with organizer Michael Eavis.
This will be the first and only time the band perform at the famous Somerset festival which attracts up to 175,000 fans every year.
According to sources it will be the final date in only a handful of shows which will take place in Britain and America in 2013.
The famous rock group were due to tour this year for their 50th anniversary.
However, according to Rolling Stone magazine the anniversary tour was delayed because of Keith Richards’s health and his ability to make it through a full tour.
In April 2006, while on holiday in Fiji, the guitarist suffered a head injury and many fans commented that his performance during Martin Scorsese’s Shine a Light documentary was often inaudible.
It is now believed the band will not do a full world tour as planned and will only do a number of shows across the UK and America.
A source told the Sunday Mirror: “All four members have agreed that next year is the right time to have one final hurrah and put on the gig of their lives.
“It’s a case of now or never, and obviously Glastonbury is the most important festival on the circuit.”
Rumors of the band playing at the festival has often circulated over the years.
Michael Eavis has also previously expressed how The Rolling Stones, Dolly Parton and Led Zeppelin would be his dream bookings.
He was unavailable to comment on whether he had finally been successful in his bid.
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