In a gas-supply system for internal-combustion engines, a pressure-reducing valve is set between the reservoir of the gas and a distribution manifold or rail that feeds the gas to a series of electromagnetically controlled injectors associated to the various cylinders of the engine. The pressure-reducing valve has a piston member, which is mobile inside the valve body, for controlling said open/close element, and has one end facing a first chamber within said valve body, set in the path of connection of the inlet connector with the outlet connector, and the opposite end facing a second chamber within said valve body. The aforesaid second chamber is connected to the intake manifold of the internal-combustion engine so as to enable any flow of gas that has leaked from said first chamber to said second chamber to be discharged in the engine. Set in connection with the intake manifold is a solenoid shutoff valve, preferably incorporated in the pressure-reducing valve, which is opened automatically upon ignition of the engine.