Moncur is a surname. Notable people with the surname include:
Alexander Moncur (1888–1976), politician
Avard Moncur (born 1978), track and field athlete
Bobby Moncur (born 1945), footballer
Craig-James Moncur, actor and producer
Eric Moncur (born 1984), footballer
George Moncur (born 1993), footballer
Grachan Moncur III (born 1937), jazz trombonist
John Moncur (born 1966), footballer
TJ Moncur, (born 1987), footballer