An exhaust controlling apparatus for an internal combustion engine comprising: a filter that is disposed on an exhaust path of the internal combustion engine and that captures particulate matter exhausted from the internal combustion engine; and a controller that executes regeneration control that incinerates the particulate matter captured on the filter, wherein while the controller is executing the regeneration control, the controller executes lean incineration control and stoichiometric incineration control in combination with each other; the lean incineration control incinerates the particulate matter, keeping an air-fuel ratio of the internal combustion engine to be leaner than a logical air-fuel ratio (R 0); and the stoichiometric incineration control incinerates the particulate matter, oscillating the air-fuel ratio of the internal combustion engine about the logical air-fuel ratio (R 0) as an average air-fuel ratio at a predetermined first frequency (B 3) of the oscillation equal to or larger than a reference frequency (B 1) of the oscillation, wherein while the controller is executing the stoichiometric incineration control, the controller executes ignition timing variable control that adjusts an ignition timing of the internal combustion engine according to temperature of the filter, wherein before the controller starts the regeneration control, the controller executes a normal control that oscillates the air-fuel ratio of the internal combustion engine about the logical air-fuel ratio (R 0) serving as the average air-fuel ratio at an amplitude smaller than that of the stoichiometric incineration control and at the reference frequency (B 1) of the oscillation. a filter that is disposed on an exhaust path of the internal combustion engine and that captures particulate matter exhausted from the internal combustion engine; and a controller that executes regeneration control that incinerates the particulate matter captured on the filter, wherein while the controller is executing the regeneration control, the controller executes lean incineration control and stoichiometric incineration control in combination with each other; the lean incineration control incinerates the particulate matter, keeping an air-fuel ratio of the internal combustion engine to be leaner than a logical air-fuel ratio (R 0); and the stoichiometric incineration control incinerates the particulate matter, oscillating the air-fuel ratio of the internal combustion engine about the logical air-fuel ratio (R 0) as an average air-fuel ratio at a predetermined first frequency (B 3) of the oscillation equal to or larger than a reference frequency (B 1) of the oscillation, wherein while the controller is executing the stoichiometric incineration control, the controller executes ignition timing variable control that adjusts an ignition timing of the internal combustion engine according to temperature of the filter, wherein before the controller starts the regeneration control, the controller executes a normal control that oscillates the air-fuel ratio of the internal combustion engine about the logical air-fuel ratio (R 0) serving as the average air-fuel ratio at an amplitude smaller than that of the stoichiometric incineration control and at the reference frequency (B 1) of the oscillation.