Brian Muir (born 25 September 1944) is a Scottish former professional footballer who played as a full-back.
Muir began his career with Glasgow Perthshire before joining Partick Thistle in 1965. He was a key member of the Partick Thistle side that famously defeated Celtic 4-1 in the 1971 Scottish League Cup Final. He played for Thistle until 1976, making over 300 appearances for the club. He later moved to Clydebank, where he finished his playing career.