A control device of an engine including an exhaust gas turbocharger having an exhaust driven turbine with a turbine wheel and a compressor wheel includes an electronic control unit configured to set a target output torque based on a required value of an output torque for the engine, regulate the output torque of the engine to the target output torque, and limit an increase of an actual output torque of the engine from a timing at which a rate of increase of the actual output torque exceeds a predetermined value, when the target output torque is larger by at least a predetermined amount than the actual output torque and the rate of increase of the actual output torque is equal to or smaller than the predetermined value.