A fan-out semiconductor package includes: a support member having a through-hole; a semiconductor chip disposed in the through-hole and having an active surface having connection pads disposed thereon and an inactive surface opposing the active surface; an encapsulant encapsulating at least portions of the support member and the semiconductor chip; and a connection member disposed on the support member and the active surface of the semiconductor chip and including a redistribution layer electrically connected to the connection pads. The support member includes a glass plate and an insulating layer connected to the glass plate.