A semiconductor package with a die pad having a recessed portion is proposed, wherein a lead frame is used, having a die pad formed with at least a through hole, and a plurality of leads. A chip is mounted on the die pad and covers the through hole, with a bottom surface of the chip being partly exposed out the through hole. The through hole is formed at its peripheral edge with a recessed portion that dents from a top surface of the die pad and is associated with the through hole. During a molding process, the recessed portion is entirely filled with an encapsulating compound used for encapsulating the chip and die pad. This prevents forming of voids between the chip and die pad, and assures packaged products to be free of die crack or popcorn effect, thereby significantly improving yield and reliability of the packaged products.