Mur is a Spanish surname. Notable people with the surname include:

Alejandro Soler Mur (1972), Spanish politician Dalmacio de Mur y de Cervelló (–1456), Spanish prelate of the fifteenth century Estefania Carròs i de Mur (1455–1511), Spanish educator Lautaro Mur (born 1997), Argentine professional footballer Mariano de Mur (1909–1936), Spanish footballer Mona Mur (born 1960), German singer Sergio Mur (born 1977), Spanish television actor

See also Mur Lafferty (born 1973), American podcaster and writer