James Millar Fleming (5 September 1901 – 4 September 1962) was a Scottish first-class cricketer and curler.

Fleming was born at Philpstoun in September 1901. He was educated at the Linlithgow Academy. A club cricketer for West Lothian Cricket Club, Fleming was considered one of the best all-round cricketers in Scotland.^[1] On the back of this, he was selected to play for Scotland in a first-class match against Ireland at Greenock in 1926.^[2] In the only innings in which he batted, he scored an unbeaten 51 batting at number 10.^[3] In that same season, he played for Scotland in a minor match at Edinburgh against the touring Australians, captained by Herbie Collins.^[1] Later, during the Second World War, Fleming did much to attract first-class cricketers to Scotland and organised Scottish cricket tours.^[4][1]

In 1948, Fleming took up curling and a year later he was a member of the team which won the 1949 Worlds Curling Championships.^[1] Fleming was known for his large collection of books on cricket,^[4] in addition to his collecting, he also wrote the book Through Wales With Bat and Bottle. He founded the Scottish Cricket Society in 1952.^[1] Fleming died at Murrayfield a day before his 61st birthday, following a long illness.^[1]