Abstract: Disclosed is a punch pressing machine requiring no turret, having punch units and die units as die sets, the number of which is not inferior to a turret punch pressing machine, and exhibiting a working accuracy superior to the turret punch pressing machine. A plurality of punch units and die units are disposed in two or more lines on a mounting plate member. A hammer member confronting the respective punch and die units is positioned in X-and-Y axis directions, whereby a workpiece can undergo necessary punch press working.