A method of producing a workpiece having a modified gearing geometry by a generating method includes generating machining the workpiece in at least one machining stroke with a tool having a modified gearing geometry and a topological modification. Provision is made that the contact path with the workpiece is not shifted on the tool during the machining stroke. In one example, a cylindrical workpiece is machined by an axial generating method. In another example, a conical workpiece is machined by a diagonal generating method, and the diagonal ratio is selected such that the contact path does not shift on the tool during the machining stroke.