To easily mount an apparatus to a die at the outer peripheral part on the basis of a normal structure and function of a turret punch press and to stably cut a micro joint.

An engaging hole 65 is arranged on the outer peripheral face of a punch body 63 of a punch 61 mounted to the outer peripheral face C of an upper turret 11. An engaging protrusion part 75 of a slider member 73 having an upper blade 77 is freely engaged with and disengaged from engaging hole of the punch 61, an apparatus is easily mounted on the basis of a normal structure and function of a turret punch press. When the punch 61 is struck by a ram 29 at a working position, the slider member 73 is elevated through a guide member arranged on the outer peripheral side face of the upper turret 11, the upper blade 77 is not in a cantilever state for the punch 61. When a micro joint part of a work W is cut in cooperation of the upper blade 77 and a lower blade 87 arranged to the lower turret, the clearance between the upper blade 77 and the lower blade 87 is not deformed, stable cutting is conducted.