The coat belonged to the musician in the late 1960s to early 1970s and was left at his home in Tittenhurst Park in Ascot, Berkshire, when he set off for America, reported Daily Express.
The three-quarter length jacket, with statement of provenance, has a mandarin collar and a slight flare to the sleeves. It shows slight signs of wear, such as a small tear on the left sleeve.
The jacket had expected to fetch between 8,000 and 12,000 pounds when it went under the hammer at Hansons Auctioneers in Etwall, Derbyshire.
She added that she and her husband would add it to their extensive Beatles memorabilia collection at their home in Derbyshire.
Hansons Auctioneers spokeswoman Rachel Morley said, "It's wonderful the jacket is staying in the local area."
Lennon was shot dead at the entrance of his building in New York on December 8, 1980. He was 40.