An engine idling speed control apparatus for controlling the amount of air supplied to the engine and the timing of the sparks supplied to the engine to cause the engine idling speed to follow a target engine idling speed value. In response to a demand for application of a load to the engine, the magnitude of the load to be applied to the engine and the time at which the load is applied to the engine are predicted. After the load application demand is detected, the amount of air supplied to the engine is increased and the spark timing is corrected to produce an engine output condition causing the engine speed to follow the target engine speed value with the use of an engine model indicating an engine output characteristic provided when the spark timing, the amount of air supplied to the engine and the predicted load magnitude are inputted to the engine model.