To provide a laser-punch compound machine capable of carrying out punching and laser beam machining for a workpiece, which laser-punch composite processing machine can widen the range of machining with composite processing by making the position of the laser beam machining coincide with the position of the punching, and can make a laser beam machining head moving mechanism small.

The laser-punch composite processing machine for carrying out punching and laser beam machining for a workpiece comprises an upper turret 3 having a notch 7, a laser beam machining head 9 which can move between the position inside the notch 7 and the position separated from the notch 7, a first carriage 11 which can move the held workpiece, a second carriage 13 which can move the held workpiece, wherein the interference of the respective carriages 11, 13 with the laser beam machining head 9 can be avoided by arranging the laser beam machining head 9 between the respective carriages 11, 13.