Semiconductor package with an antenna substrate

A semiconductor package includes a front redistribution structure having a first surface and a second surface, opposite to the first surface, a dielectric layer, an antenna substrate including a plurality of antenna members in the dielectric layer, a semiconductor chip having a connection pad connected to the plurality of antenna members, a conductive core structure having a first through-hole accommodating the antenna substrate and a second through-hole accommodating the semiconductor chip, and a rear redistribution structure including a conductive cover layer exposing an upper portion of the antenna substrate and covering an upper portion of the semiconductor chip, and a conductive via connecting the conductive cover layer to the conductive core structure.