PURPOSE: To absorb fine vibration and to improve the accuracy of a product by providing a vibration damping device between the inside frame supporting a punch press and the outside frame of a combined processing machine.

CONSTITUTION: A hydraulic unit 25 for positioning is lowered in a punching time and projection 35 is separated from a V-shaped groove 33 of position 27 for positioning and internal frame 7 supporting a punch press 5 is held by the vibration damping device 39. In this way, since fine vibration generated in a punching time can also be absorbed by the vibration damping device 39, the optical system of a laser beam machine 9 is not disturbed and the working accuracy of a product can be improved.