Abstract: The fuel injection system has a high-pressure fuel pump (10) and a fuel injection valve (12) for a cylinder of the engine. The high-pressure fuel pump (10) has a pump work chamber (22), and the fuel injection valve (12) has an injection valve member (28) by which at least one injection opening (32) is controlled and which is movable in an opening direction (29) counter to the force of a closing spring (44); the closing spring (44) is braced on one end on the injection valve member (28) and on the other end on a displaceable storage piston (50) that is acted upon, on its side remote from the closing spring (44), by the pressure prevailing in the pump work chamber (22). The storage piston (50) is movable into a storage chamber (55) counter to the force of the closing spring (44), and the deflection stroke motion of the storage piston (50) into the storage chamber (55) is limited by a stop (54).