A control device for an internal combustion engine is configured to feed fuel to a combustion chamber in an intake stroke to form a homogeneous premix and make the homogeneous premix burn by flame propagation when a temperature of an engine body is less than a first threshold value, to feed fuel to the combustion chamber in the intake stroke to form a homogeneous premix and make the homogeneous premix burn by compression ignition when the temperature of the engine body is the first threshold value to less than a second threshold value larger than the first threshold value, and to directly feed fuel to the combustion chamber in a compression stroke to form a partial premix and make the partial premix burn by compression ignition when the temperature of the engine body is the second threshold value or more.