Harrison also played the guitar during the sessions when the Beatles recorded I Want to Hold Your Hand and This Boy in October 1963, months before they brought Beatlemania to the United States, launching the British Invasion of rock bands.
The guitar was estimated to sell between $400,000 and $600,000, Julien's said ahead of the auction.
Harrison bought the guitar in 1963 in Mount Vernon, Illinois, while visiting his sister in the United States, the auction house said.
Also sold at the auction was a handwritten placard with doodles signed by John Lennon and Yoko Ono from their 1969 anti-war "bed-in" in Montreal, which fetched $187,000. A Hofner bass rented by Paul McCartney in the mid-1960s sold for $125,000.
Other notable sales from the auction included a white jumpsuit worn by Elvis Presley during a 1971 concert that fetched $197,000, and 1990 red Rolls-Royce Corniche III convertible owned and used by Lady Gaga that sold for $125,000.