In a method of producing a toothed workpiece having a modified surface geometry by a diagonal generating method by means of a modified tool, a tool may be used whose surface geometry comprises a modification which can be described at least approximately in the generating pattern at least locally in a first direction of the tool by a linear and/or quadratic function, with the specific modification of the tool producing a corresponding modification on the surface of the workpiece by the diagonal generating method, with the modification of the workpiece produced by the specific modification of the tool having a profile modification and/or a modification caused by a change of the machine kinematics during the machining process of the workpiece superposed on it.