In Greek mythology Leucippus was king of Sicyon.
He was the son of Thurimachus, son of Aegyrus, son of Thelxion, son of Apis, son of Telchis, son of Europs, son of Aegialeus (an autochthon).
Leucippus had only one child, a daughter Calchinia. She bore Poseidon a son, Peratus, who was reared by Leucippus and inherited the kingdom.