A method for determining the rotor position of a synchronous machine operated in field-oriented manner, which has an effective inductivity that is dependent on the rotor position, the motor current being acquired, and the motor voltage being set with the aid of a pulse-width-modulation method, a signal which is in synchrony with the pulse-width-modulation frequency being superimposed on the motor voltage value to be set, values of the motor current being acquired in synchrony with the pulse-width modulation frequency, a current component induced by the superimposed voltage signal and a residual current component, i.e., fundamental wave component, being determined, the current component induced by the superimposed voltage signal being used for determining an estimated rotor angle position, whose phase error in relation to the actual rotor angle position is reduced by means of a flux model, the residual current component being supplied to a current controller.