In the control of fuel injection in an internal-combustion engine, whether or not the rate of change of the engine rotational speed exceeds the selected limit of the rate of change of the engine rotational speed, determined by the ratio of the engine rotational speed to the automobile speed and the ratio of the intake air amount to the engine rotational speed, is checked. The value of the engine rotational speed used in the control of the fuel injection pulse width and the ignition timing is restricted to within the selected limit of the rate of change of the engine rotational speed.