The legendary rock group will take to the stage for the world-famous musical extravaganza, in Somerset, England, before embarking on an 18-month world tour.
A source close to the band - Robert Plant, Jimmy Page, John Paul Jones and drummer Jason Bonham, who has replaced his late father John Bonham - said: "It will kick off at next year's Glastonbury after Robert has finished touring with American country star Alison Krauss."
Led Zeppelin first inspired Michael Eavis to organise the Glastonbury Festival after he saw the band perform an open air concert in 1970.
It has also been reported the rockers plan to return to New York's Madison Square Garden - where they played three historic sell-out concerts in 1973 - as part of the globetrotting tour.
Although the group has previously hinted at playing further shows together, there has still been no official announcement.
Earlier this month, frontman Plant said: "It wouldn't be such a bad idea for Led Zeppelin to play together from time to time."
Guitarist Page has previously stated: "It's a bit selfish to do just one show. If that's it, we probably shouldn't have taken the genie out of the bottle."
TAGS: Music Led Zeppelin