A battery-recharging system for a motor vehicle

The system includes a current generator (2) including an alternator (4) and an associated rectifier (7) whose output is connected by a cable (9) to a terminal of the battery (1). A switch (10) is connected to that terminal of the battery (1) and an indicator lamp (11) connected in series with the switch (10) is switched on when no current is supplied by the generator (2). A voltage regulator (3) is connected to the field winding (6) of the generator (2) and has first and second inputs (A,L) connected to the output of the generator (2) and to the lamp (11) respectively. The voltage regulator (3) includes a control circuit (15) for monitoring the potential difference between the first and second inputs (A,L) of the voltage regulator (3) and for switching on the lamp (11) if that potential difference is greater than a pre-established reference value when the generator (2) is operating. This enables any interruption of the connection between the generator (2) and the battery (1) to be indicated to the user.