An engine, having an intake passage, a throttle valve arranged in the intake passage, and a fuel injector arranged in the intake passage for injecting fuel into the intake passage, comprises an air-flow control valve arranged in the intake passage between the fuel injector and the throttle valve. The air-flow control valve is controlled to close during the engine starting operation, and to open after the engine starting operation completes. The air-flow control valve has a valve element having an axis about which the element is rotatable when the valve is opened or closed. The rotational direction of the valve element is selected so that air flowing through the valve is guided by the valve toward the fuel injector when the air-flow control valve is controlled to an intermediate open position which is between the closed position and the full open position.