A control device for an internal combustion engine employing PCCI combustion, capable of realizing high-stability operation of the engine throughout a large operation area, is provided. The engine control device comprises a fuel supply system which supplies light oil or mixed fuel containing light oil to the engine, a gas supply system which supplies hydrogen to the engine, and a required premixed gas calculating unit which previously stores and uses multiple combustion waveforms (changing depending on hydrogen addition concentration) as data. The required premixed gas calculating unit selects one of the combustion waveforms so as to achieve high thermal efficiency depending on the status of the engine and determines the hydrogen addition concentration (addition concentration of the hydrogen to be supplied to the engine) corresponding to the selected combustion waveform, by which the generation of PM and NOx can be reduced while also improving the thermal efficiency of the engine.