To provide a control device capable of setting a plurality of combustion parameters changing a combustion state of an internal combustion engine to appropriate values and improving a fuel consumption rate regardless of an operation state. An engine ECU 70 sets a combustion parameter (main injection timing, pilot injection timing, fuel injection pressure, turbocharging pressure, or the like) such that a center-of-gravity position of a heat generation rate becomes a constant target crank angle regardless of a load of an engine 10, In addition, the ECU 70 estimates the center-of-gravity position of a heat generation rate based on an output of an in-cylinder pressure sensor 64 and feedback-controls the combustion parameter such that the estimated center-of-gravity position of a heat generation rate becomes equal to the target crank angle.