Abstract: In a method for producing workpieces having inner and/or outer contours deviating from a circular shape, at least one workpiece is clamped on a machine and the workpiece is driven in rotation about a rotational axis of the workpiece at a first constant velocity. At least one tool is arranged on a carriage that is moveable radially to the rotational axis of the workpiece as well as axially in the longitudinal direction of the rotational axis of the workpiece. The tool is rotatably driven about a rotational axis of the tool that deviates from the rotational axis of the workpiece such that an active cutting surface of the tool moves on a circular path at a second constant velocity. The second constant velocity is selected such that its revolutions per minute deviate from the revolutions per minute of the first constant velocity with respect to size and/or rotational direction.