A semiconductor-chip stack package includes a plurality of semiconductor chips disposed in a stack arrangement and at least one connecting substrate which connects the semiconductor chips. The semiconductor chips include a chip terminal face on a chip edge extending at least partially as a side terminal face in a side surface of the semiconductor chip. The side surfaces of the semiconductor chips provided with the side terminal face are arranged in a shared side surface plane S of the semiconductor-chip stack arrangement. The connecting substrate is arranged with a contact surface parallel to the side surface plane S of the semiconductor chips. Substrate terminal faces are formed on the contact surface for connecting a connection conductor structure formed in the connecting substrate and which are connected to the side terminal faces via a connecting material in a connection plane V1 parallel to the contact surface.