Brian Stewart Parkyn (28 April 1923 - 22 March 2006) was a British Labour Party politician.
Parkyn was educated at King Edward VI Grammar School, Chelmsford, and at technical colleges. Like his father, Leslie Parkyn, in the First World War, he was a conscientious objector in the Second World War.
He joined his uncle in the firm of Scott Bader, becoming a director in 1953. He was a council member of the British Plastics Federation.
Parkyn was elected Member of Parliament for Bedford in 1966, having first contested the seat in 1964, and ousting Christopher Soames, son-in-law of Sir Winston Churchill by a narrow majority. He notably served on the House of Commons Select Committee on Science and Technology. In 1970 he lost his seat to the Conservative Trevor Skeet; he attempted unsuccessfully to regain the seat in October 1974.