A method is provided of making a semiconductor package with a heat spreader in which a chip carrier module plate consisting of a plurality of array-arranged chip carriers is mounted with at least one chip on each of the chip carriers. A heat spreader module plate is attached to the chips, with an interface layer formed on a top surface of the heat spreader module plate. The chip carrier module plate, the chips and the heat spreader module plate are encapsulated. Adhesion force between the interface layer and the encapsulant is larger than that between the interface layer and the heat spreader module plate, and adhesion force between the interface layer and the heat spreader module plate is smaller than that between the heat spreader module plate and the encapsulant.