A system for controlling filling a motor-vehicle tank with LPG, comprises: a normally-closed valve, which can be driven in opening by excitation of a solenoid; sensor means, pre-arranged to emit an electrical signal indicating that a pre-set maximum level of LPG in the tank has been reached; and a control member, which can be operated manually for generating an electrical signal indicating the intention to proceed with filling the tank. The system further comprises a control circuit, which is independent of the circuit on board the motor vehicle and which is active even when the vehicle engine is turned off and is pre-arranged for exciting the solenoid of the valve in order to control opening thereof when it receives the aforesaid signal indicating activation of the mode of filling of the tank, and for de-exciting the aforesaid solenoid in order to control closing of the valve when the signal indicating that the pre-set maximum level of LPG in the tank has been reached is received. Preferably, the aforesaid valve is of the servo type, in which the solenoid controls an auxiliary open/close element associated to a pilot hole, opening of which causes opening of a main open/close element.