A method and tool for producing workpieces with small corner radii in relation to the cutting thickness and with greatly reduced draw-in by precision cutting in a precision cutting tool includes clamping the workpieces between two tool parts consisting of a respective top and bottom cutting dies and of a top and a bottom cutting punch. The workpiece is machined in a one-stage arrangement in at least two successive cutting sequences in different cutting directions with the following partial steps: (A) cutting out a semifinished product, matched to the workpiece geometry, in a first cutting operation in a vertical working direction with slight draw-in, and (B) finish cutting of the semifinished product, produced in step (A), in at least one further cutting operation in a working direction opposed to step (A), wherein the draw-in of partial step (A) is filled again at least in the corner region.