A method for the grinding finish machining of an already toothed gearwheel workpiece in an NC-controlled machine tool, comprising the following steps: a. providing the gearwheel workpiece in the machine tool, b. providing a first grinding tool in the machine tool, c. providing a second grinding tool in the machine tool, d. grinding machining of at least one tooth flank of the gearwheel workpiece using the first grinding tool, e. grinding machining of at least one tooth flank in the transition region to the tooth head of the gearwheel workpiece using the second grinding tool in the machine tool to generate a head edge rounding on the gearwheel workpiece, f. further grinding machining of at least one tooth flank of the gearwheel workpiece using the first grinding tool and/or the second grinding tool in the machine tool.