An embodiment (control apparatus) for an internal combustion engine according to the present invention determines, based on an output value of the downstream air-fuel ratio sensor disposed downstream of a three-way catalyst, determines which air-fuel ratio request, a rich request or a lean request, is occurring. The control apparatus sets a target upstream air-fuel ratio to a target rich air-fuel ratio when the rich request is occurring, and sets the target upstream air-fuel ratio to a target lean air-fuel ratio when the lean request is occurring. Each of the target rich air-fuel ratio and the target lean air-fuel ratio is varied depending on an intake air amount. Further, the control apparatus increases a purge amount of an evaporated fuel as a magnitude (air-fuel ratio change amount ΔAF, |afLean−afRich|) of a difference between the target rich air-fuel ratio and the target lean air-fuel ratio becomes larger.