An apparatus includes: an control portion that controls fluctuating the air/fuel ratio; a data acquisition portion that acquires a responsiveness parameter during change of output of the sensor between a rich peak to a lean peak; and a determination portion that determines presence/absence of abnormality of the sensor based on an abnormality criterion value and a data average. When the number of the acquired data becomes equal to or greater than a first number, if the number of the acquired data during a large intake-air-amount of an engine is greater than or equal to a second number, the determination portion determines the presence/absence of abnormality, or if the number of the acquired data during the large intake-air-amount is less than the second number, the determination portion does not determines that, but acquires the data until the number of the acquired data during the large intake-air-amount reaches the second number.