A controller for an internal combustion engine is configured to execute a dither control process and a filter temperature calculating process. In the dither control process, on condition that an execution request for a regeneration process of the filter is made, fuel injection valves are operated such that at least one of the cylinders is a lean combustion cylinder, and at least another one of the cylinders is a rich combustion cylinder. The filter temperature calculating process is a process of calculating the temperature of the filter to be lower when a target value of an average value of the exhaust air-fuel ratio in a predetermined period by the dither control is leaner than the stoichiometric air-fuel ratio than when the target value is the stoichiometric air-fuel ratio.