A control device for an internal combustion engine keeping down an increase in combustion noise at the time of a cold state, provided with a combustion control part successively performing at least pre-fuel injection, first main fuel injection, and second main fuel injection to perform premix charged compressive ignition so that heat is generated inside the combustion chamber in stages a plurality of times, the combustion control part comprising a target value setting part setting target injection amounts and target injection timings of the pre-fuel injection, first main fuel injection, and second main fuel injection and a correction part performing correction to make the target injection amount of the pre-fuel injection increase and make the target injection amount of the second main injection decrease when the temperature of the engine body or the temperature of a parameter with a correlative relationship with the temperature of the engine body becomes a predetermined temperature or less.