The invention is directed to firm bonding between semiconductor dies etc bonded to a lead frame and wire-bonding portions of the lead frame by ultrasonic Al wire bonding, and the prevention of shortcircuit between the semiconductor dies etc due to a remaining portion of the outer frame of the lead frame after the outer frame is cut. By extending the wire-bonding portion etc on the lead frame in a wire-bonding direction and connecting the wire-bonding portion etc to the outer frame of the lead frame through a connection lead etc, the ultrasonic vibration force in the ultrasonic Al wire bonding is prevented from dispersing and the Al wire and the wire-bonding portion etc are firmly bonded. The outer frame is cut after a resin sealing process is completed. Even when a portion of the outer frame remains on the side surface of the resin package, connection between the connection lead etc and other hanging lead etc are prevented by providing a notch etc in the outer frame between the connection lead etc and the hanging lead etc.