Abstract: A method and device for the contactless measuring of direct and alternating current, in particular current instantaneous values, by using a magnetic circuit having an air slot and a magnetic field dependent resistor through which a control current flows and a winding through which a measuring current flows. In order to provide a large measuring speed for picking up a rapid instantaneous value, for example, generated high current peaks, at least a further winding is mounted on the magnetic circuit, the voltage drops on the magnetic field dependent resistor are picked up and stored at the peak values or other typical values of the current to be measured. After completing the measuring current, the current in the equivalent current winding is increased and the already stored voltages corresponding to the measuring current are compared consecutively with the voltage drops on magnetic field depending resistor, corresponding to the increase in the amount in the equivalent current winding.