NOVELTY - The device has a current generator for collecting current in a fuel cell, so as to discharge the current, and a discharging module for consuming the collected current. The discharging module includes an indicating unit (8) e.g. red LED, for providing indication when residual voltage across terminals of the fuel cell is below a given threshold. The current generator is arranged between the terminals of the fuel cell, so as to support the maximum residual voltage delivered by the fuel cell when the fuel cell is turned off.    USE - Device for monitoring the drop in residual voltage across terminals of a fuel cell of a motor vehicle i.e. car, after the fuel cell is turned off. Can also be used for an electrolyzer, a battery, a capacitor and a supercapacitor.    ADVANTAGE - The indicating unit of the discharging module provides indication when the residual voltage across the terminals of the fuel cell is below the given threshold, thus enabling an operator to have reliable information on discharging current state of the fuel cell, and hence allowing the operator to decide the intervention moment with optimal safety. The device can be powered by the current collected from the fuel cell, without the need for a power source, so that the device is autonomous, compact and is inexpensive. The device enables quick consumption of residual oxidant and combustible, so as to limit anode-cathode diffusion phenomenon, thus avoiding the generation of thermal combustion inside the fuel cell to prevent alteration in membranes of the fuel cell, and hence prolonging the service life of the fuel cell. The device eliminates the need for a contactor between the fuel cell and components connected to the fuel cell, thus simplifying the architecture of electrical system in the vehicle. The device can be easily adapted according to the number of elementary cells in the fuel cell.    DESCRIPTION OF DRAWING(S) - The drawing shows a functional block diagram of a residual voltage drop monitoring device.'(Drawing includes non-English language text)'    End cells (C1, C120)    Flat jumper (4bis)    Monitoring module (7)    Indicating unit (8)