In a direct injection type engine, capable of switching an injection mode between a compression stroke injection mode for injecting fuel mainly during a compression stroke and an intake stroke injection mode for injecting fuel mainly during an intake stroke; a fuel injection starting timing in the intake stroke is corrected to a retard side as the temperature relating to an internal combustion engine, detected as a parameter representing the tendency of fuel to adhere to the inside of the internal combustion engine, becomes lower. If a required fuel injection volume cannot be injected during the intake stroke injection mode in the corrected fuel injection timing, a timing for injecting remaining fuel to satisfy the required fuel injection volume during a compression stroke following the intake stroke in one combustion cycle is determined. The injection of the fuel is controlled according to the corrected fuel injection timing.