CONTROLLER FOR INTERNAL COMBUSTION ENGINE AND METHOD FOR CONTROLLING INTERNAL COMBUSTION ENGINE

An internal combustion engine includes a catalyst arranged in an exhaust passage, a fuel injection valve that supplies fuel to a cylinder, and an ignition device. A controller controls a fuel injection amount of the fuel injection valve and an ignition timing of the ignition device. The controller executes a fuel supply process that supplies fuel of the internal combustion engine from the fuel injection valve to the catalyst and a correction process that corrects an amount of fuel supplied to the catalyst during the fuel supply process so that the catalyst is supplied with less fuel when the ignition timing is retarded than when the ignition timing is advanced.