Connop is both a given name and a surname. Notable people with the name include:
Given name Connop Guthrie (1882–1945), British businessman and public servant Connop Price (1912–1998), English Anglican priest Connop Thirlwall (1797–1875), English churchman
Surname Rod Connop (born 1959), Canadian football player Rory Connop (born 1990), Canadian football player