For precise alignment of the punch stamps relative to the cutting plates, the respective punch stamp is supported in a floating manner, i.e., in a transversely movable manner, on the head plate associated with the punch stamp. The alignment of the cutting edges of the punch stamp with respect to the cutting edges of the cutting plate is accomplished by at least one stamp guide arrangement that is directly active between the punch stamp and the cutting plate and effects precise relative positioning in a direction transverse to the active cutting edges. The centering elements may extend from the punch stamp through the matrix or cutting plate. Alternatively, the centering elements may extend from the cutting plate through the openings of the punch stamp or extend along sliding or positioning surfaces of the punch stamp.