Cleve is a given name. Notable people with the name include:
Cleve Benedict (born 1935), American retired politician
Cleve Bryant, college football quarterback, athletics administrator and former head coach at Ohio University
Cleve Cartmill (1908–1964), American science fiction and fantasy writer, best remembered for a short story investigated by the FBI
Cleve Gray (1918–2004), American abstract expressionist painter
Cleve Jones (born 1954), American AIDS and LGBT rights activist
Cleve Moler (born 1939), American mathematician and computer scientist
