In a direct injection spark ignition internal combustion engine that includes a fuel injection valve, and closes an intake valve after gas in the combustion chamber begins to flow back into an intake passageway after the compression stroke begins. The required fuel injection amount is injected a first fuel injection and a second fuel injection in a single combustion cycle, and the first fuel injection is performed while the intake valve is open during the compression stroke, and the second fuel injection is performed after the intake valve closes. The timing of the first fuel injection is set such that the injected fuel is deflected upwards in the top of the combustion chamber by the gas flowing toward the intake valve.