An apparatus for determining an air-fuel ratio imbalance among cylinders including an upstream air-fuel ratio sensor, a catalytic converter, and a downstream air-fuel ratio sensor disposed at positions downstream of an exhaust gas aggregated portion, calculates a sub feedback amount to have an output value of the downstream air-fuel ratio sensor coincides with a value corresponding to the stoichiometric air-fuel ratio, and performs an air-fuel ratio feedback control to have an air-fuel ratio of a mixture supplied to an engine based on the sub feedback amount and the output value of the upstream air-fuel ratio sensor.