An apparatus for detecting an abnormal air-fuel ratio variation, includes an abnormality detecting unit that detects an abnormal variation in each of a plurality of fuel injection valves on the basis of an injection ratio between the plurality of fuel injection valves, a fluctuation in the output before the injection ratio is changed and the fluctuation in the output after the injection ratio is changed; and a setting unit that corrects the abnormality determination threshold for each of the plurality of fuel injection valves on the basis of the injection ratio.