Brian Muir may refer to:

Brian Muir (footballer) (1936–2020), Australian rules footballer Brian Muir (racing driver) (1931–1983), Australian auto racing driver Brian Muir (sculptor) (born 1952), British sculptor who co-created the Darth Vader character from Star Wars Brian Muir (curator) (1943–1989), see Christchurch Art Gallery

See also Bryan Muir (born 1973), Canadian hockey player