A fan-out semiconductor package includes: a frame including insulating layers, wiring layers, and connection via layers, and having a recess portion and a stopper layer disposed on a bottom surface of the recess portion; a semiconductor chip disposed in the recess portion, and having connection pads, an active surface on which the connection pads are disposed, and an inactive surface opposing the active surface and disposed on the stopper layer; an encapsulant covering at least portions of the semiconductor chip and filling at least portions of the recess portion; and a connection member disposed on the frame and the active surface of the semiconductor chip and including a redistribution layer electrically connecting the plurality of wiring layers of the frame and the connection pads of the semiconductor chip to each other. The active surface of the semiconductor chip and an upper surface of the encapsulant have a step portion therebetween.