A method is for operating a fuel injector, in particular of an internal combustion engine of a motor vehicle, the fuel injector including a piezoelectric actuator for driving a valve needle, which is connected, preferably hydraulically, to the actuator, and the control voltage of the piezoelectric actuator being analyzed to infer an operating state of the fuel injector. According to this method, the second time derivative of the control voltage and/or a variable depending on the second time derivative of the control voltage is/are analyzed.