In a control apparatus of an engine having a first fuel injection valve for injecting fuel into an intake path of the engine, a second fuel injection valve for injecting fuel into a combustion chamber of the engine, a supercharger for supercharging intake air for the engine, and a waste gate valve for opening and closing an exhaust bypass passage for bypassing a turbine of the supercharger, the waste gate valve is controlled to act in an opening direction in accordance with an increase in the injection amount of fuel injected from the second fuel injection valve, in a region where the injection amount of fuel from the second fuel injection valve is larger than the injection amount of fuel from the first fuel injection valve.