A direct injection spark ignition internal combustion engine including a controller that controls a fuel injector to perform a plurality of fuel injections to inject a necessary amount of fuel during an intake stroke, or from an intake stroke to a first half of a compression stroke, when homogeneous combustion is to be performed. The fuel injection control sets an injection prohibition period, in which injection of the fuel is prohibited, to a middle of the intake stroke. The injection prohibition period is decreased as the engine speed and as the intake air pressure increase. In addition, the amount of fuel injected before the injection prohibition period is reduced, and the amount of fuel injected after the injection prohibition period is increased, as the engine speed decreases.