The Epiphone guitar was made in 1997 and the auctioneer said it is believed to be one of five identical guitars gifted to Noel Gallagher by the manufacturer.
It was later given to Richards, Littleton Auctions said.
A collection of 11 framed platinum discs, from the Oasis album What’s the Story Morning Glory which also belonged to Richards sold for £2,000.
They had been presented to him by Creation Records to recognise United Kingdom sales of more than 3.3 million copies.
Other items in the Richards collection to sell at the auction included tour itineraries, promotional material and a Be Here Now wrist watch.
A number of other sellers also had memorabilia up for sale at the auction, including a rare original concert ticket for The Rain, the Manchester band which later became Oasis.
That sold for £2,400 and an early Oasis demo tape sold for £3,600.
A collection of early Oasis photos sold for £5,400 and a pair of leather shoes which once belonged to Noel Gallagher sold for £1,200.
But a baby grand piano which featured in the artwork for the Supersonic single, which was valued at between £100,000 and £150,000 failed to sell.
