An abnormality detection apparatus includes: an air/fuel ratio control portion that performs a control of fluctuating the air/fuel ratio; a data acquisition portion that acquires, as data for detecting abnormality, a responsiveness parameter while output of the air/fuel ratio sensor changes between rich and lean peaks during the control; an abnormality determination portion that determines presence/absence of abnormality of the sensor by using the data; and a distribution width determination portion that finds a distribution width of the data acquired by performing a plurality of acquisitions of the data, in an increase/decrease direction of the data. On the basis of comparison between the distribution width and an abnormality criterion value, the abnormality determination portion determines that the sensor has abnormality if the distribution width is less than the criterion value, and determines that the sensor does not have abnormality if the distribution width is not less than the criterion value.