Albert James Thornton (17 January 1856 – 14 June 1931), born Albert James Lee, was an English amateur cricketer who played first-class cricket between 1879 and 1891.
Thornton played mainly for Kent County Cricket Club as well as amateur sides in Kent, Devon, Sussex and Hampshire.
He worked as a stockjobber who was the grandson of the 19th century millionaire Richard Thornton.