Abstract: In a method for the removal of punch waste on punching, in particular punching using knife attachment cutting, in which, for the production by means of a punch blade of a punched opening in a workpiece supported at the end face of a cylindrical anvil, a part of the workpiece is punched out and the punched out part lies before its removal on a base, in particular a resilient base, movable axially in the cylindrical anvil, the movable base is retracted together with the punched out part into the cylindrical anvil up to and into the region of a lateral ejection opening provided in the cylindrical anvil and the punched out part supported on the retracted base is subsequently ejected through the ejection opening by loading with a corresponding force transversely to the axial direction. In addition, an apparatus for the carrying out of the method is set forth.