A fan-out semiconductor package includes: a first connection 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 first connection member and the inactive surface of the semiconductor chip; a second connection member disposed on the first connection member and the active surface of the semiconductor chip; a resin layer disposed on the encapsulant; and a rear redistribution layer embedded in the encapsulant so that one surface thereof is exposed by the encapsulant, wherein the resin layer covers at least portions of the exposed one surface of the rear redistribution layer, and the rear redistribution layer is electrically connected to the redistribution layer of the first connection member through connection members formed in first openings penetrating through the resin layer and the encapsulant.