An apparatus and method for detecting an abnormal air-fuel ratio variation between cylinders of a multi-cylinder internal combustion engine in which the output of an air-fuel ratio sensor is acquired at each sampling interval, a parameter correlated with the degree of fluctuation of the sensor output is calculated from a plurality of the acquired sensor outputs, and the presence or absence of the abnormal air-fuel ratio variation between cylinders is determined by comparing the parameter with a determination value. A cylinder air amount is estimated at each sampling interval. Every time the air-fuel ratio sensor output is acquired, the value of the cylinder air amount at the point earlier, by a transport delay time, than the point of the acquisition is determined based on the time-series data, and a corresponding determination value corresponding thereto is calculated. The determination value is determined based on a plurality of the calculated corresponding determination values.