To provide a punch press equipped with an infinitesimal axial feeding means suitable for super high-speed fine nibbling of a workpiece that is continuously moved.

The punch press, which is equipped with an infinitesimal axial feeding means suitable for super high-speed fine nibbling, is provided with a workpiece movement positioning device. The workpiece movement positioning device has moving bodies (26, 28), which are equipped with work clamps 17, and whose movements are positioned with the movement of the workpiece. Driving members (34, 36), which are driven by an axial feeding means, are arranged on the moving bodies so that the moving bodies are movable by an infinitesimal distance in the axial feeding direction. An infinitesimal feeding means, which enables an infinitesimal movement of the moving body in the axial feeding direction, is arranged between the driving member and the moving body, so that super high-speed infinitesimal feeding of the workpiece is conducted.