An electronic control unit of an internal combustion engine calculates a basic post-injection quantity of temperature increasing means if a deposition quantity of particulate matters deposited on a diesel particulate filter (DPF) exceeds a predetermined value. Then, a final post-injection quantity is calculated by correcting the basic post-injection quantity based on a temperature correction value, which is calculated by multiplying a deviation between DPF upstream exhaust gas temperature and target temperature and past temperature correction values by feedback gains. The feedback gains are switched in accordance with a delay in an exhaust gas temperature change in a present operating state, based on an intake air quantity sensed by an air flow meter. Thus, response can be improved, while maintaining stability.