It is proposed for a fuel metering system that a final control element be triggered with a regulated direct-current signal having clock components dependent on operating characteristics of an internal combustion engine in order to influence a fuel metering means. A further proposal is that the acceleration enrichment be triggered during starting. In this manner the desired starting enrichment is obtained by way of the sum of the post-starting, warm-up and acceleration enrichment. The acceleration enrichment per se begins beyond a predetermined air flow gradient and then has a steady course up to a maximum value. This subject is disclosed in combination with a continuously operating injection system, in which a corresponding overall control signal is prepared in a control unit and delivered to an electrohydraulic final control element. This final control element, in the specialized example, influences the working pressure of the differential pressure valves associated directly with the continuously functioning injection valves.