The invention concerns a device for die-cutting a stack of sheet-like materials, particularly labels, whereby the stack is pressed into the die-cutter blade by a relative movement of a punching ram and a hollow cylindrical die-cutter blade.For a device such as this, it is proposed 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.Such a device allows for precise orientation of the die-cutter blade relative to the stack to be punched.