A control device for an internal combustion engine provided with a combustion control part sequentially injecting at least a primary auxiliary fuel, secondary auxiliary fuel, and main fuel from a fuel injector in predetermined operating regions, causing compressive ignition sequentially from a premix containing the primary auxiliary fuel after injection of the main fuel, and causing compressive ignition of a premix containing the main fuel using heat generated when causing compressive ignition of a premix containing the secondary auxiliary fuel, the combustion control part setting a target injection amount and target injection timing of the primary auxiliary fuel so that a peak value and a slant of a heat generation rate pattern formed by a premix containing the primary auxiliary fuel is smaller than peak values and slants of heat generation rate patterns formed by the premixes containing the secondary auxiliary fuel and the main fuel.