Robert Flemyng (3 January 1912 - 22 May 1995) was a British film and stage actor. After his stage debut in the early 1930s, Flemyng worked steadily in both London and Broadway. His first film appearance was in 1937, but he didn't appear steadily in films until after he served in World War II, where he was awarded the Military Cross and the OBE. He played the idealistic schoolmaster in the 1948 Roy Boulting film, The Guinea Pig, starring Richard Attenborough.

He played a key role as Detective Sergeant Roberts in the 1950 film The Blue Lamp.

One memorable role was as a necrophiliac in the film The Horrible Dr. Hichcock in 1962. He ably played a sardonic British Secret Intelligence Service chief (his boss being George Sanders) in the 1966 film The Quiller Memorandum. The character actor worked in films and television until his death in 1995. Some of his later films include Kafka (1991) and Shadowlands (1993).