In a direct injection spark-ignition engine with a swirl fuel injector, an orifice nozzle tip has an inclined surface that is formed on the lower end face of the orifice nozzle tip and inclined by a predetermined inclination angle with respect to a reference plane normal to an orifice axis. The predetermined inclination angle is based on both an in-cylinder pressure dependent spray angle during the stratified-charge late fuel injection on the compression stroke and an in-cylinder pressure dependent spray angle during the homogeneous-charge early fuel injection on the intake stroke. The nozzle hole is formed within the inclined surface of the predetermined inclination angle.