To suitably correct an increase amount in accordance with rising of an exhaust temperature in correction of the increase of a fuel injection amount when at least one of a rotation speed or a load of an internal combustion engine is equal to or more than a predetermined value.

A fuel amount required on the basis of the rotation speed and the load of the engine is calculated as a basic injection amount. The increase of the basic injection amount is corrected by an increase amount coefficient. That is, when at least one of the rotation speed and the load of the engine is equal to or more than the predetermined value, a first increase amount coefficient is calculated on a map in order to correct the increase of the basic injection amount. Further, a correction coefficient for correcting the first increase amount coefficient is calculated on the map when an actual exhaust pressure deviates from a reference exhaust pressure which is the exhaust pressure estimated in conformity of the map. When the multiplication value of the first increase coefficient and the correction coefficient is larger than 1, the increase of the basic injection amount is corrected by the value.