Device for die-cutting a stack of sheet-like materials, particularly labels, whereby the stack to be punched is pressed into the die-cutter blade by a relative movement of a punching stack and a hollow cylindrical die-cutter blade, characterized in that the die-cutter blade (18) is adjustably held in a frame (16), and the frame (16) is accommodated by a receiving apparatus (13) which is mounted in a punch platen (12) and is adjustable relative to it, whereby the frame (16) can be slid in a plane parallel to the punch platen (12), in particular is adjustable in the direction of two major axes that are essentially arranged perpendicular to one another, and can also be tilted out of the plane.