A wind turbine generator system is equipped with a three phase generator connected to a shaft of a windmill, a converter connected to a stator of the generator, and an inverter connected to the converter and also to an electric power system. The system extracts a torsional vibration component of the shafting between the windmill and generator from the detected rotation speed of the generator, regulates the active component of the current command to the converter according to the vibration component, and controls so as to minimize the rotation speed variation of the generator.