Abstract: An apparatus for electrochemically machining of a workpiece by means of an electrode has an actuator for setting a gap between the electrode and the workpiece. The apparatus further has a channel for flushing the gap with an electrolyte and a container for containing the electrolyte. Power cords and are provided for feeding an electric current I supplied by a power supply through the electrolyte in the gap. Near the gap an antenna is provided to pick up electromagnetic waves radiated from the gap. The antenna is connected to a band-pass filter which passes signals in a frequency band of 40 to 100 MHz to a level detector. The level detector compares the amplitude of the filtered signal with a threshold value and supplies a stop signal to the control unit when the amplitude exceeds the threshold value. The control unit is programmed to open a switch in the power supply in response to the stop signal.