The invention is directed to a correcting arrangement for a fuel metering apparatus of an internal combustion engine by means of which permanent offsets of the positioning control loop of the fuel metering apparatus of the internal combustion engine are corrected. This is accomplished in that at a specific load condition of the internal combustion engine, preferably in the overrun mode of operation subsequent to the idle speed control characteristic, the actually injected fuel quantity which is a diesel engine, for example, is preferably measured by means of the movement of the nozzle needle of the injection valve of the fuel metering apparatus, is checked to a known value, in the example cited preferably for zero value, and in that the result of this check is used to influence the control system of the fuel metering apparatus of the internal combustion engine.