The air-fuel-ratio control apparatus for an internal combustion engine obtains a composite air-fuel ratio abyfs from a downstream-side correction value Vafsfb(k) based upon an output value Voxs from a downstream air-fuel-ratio sensor 67 and an output value Vabyfs from an upstream air-fuel-ratio sensor 66, and obtains an upstream-side feedback correction value DFi on the basis of the composite air-fuel ratio abyfs. A fuel injection quantity Fi is determined to a value obtained by adding the upstream-side correction value DFi to a control-use base fuel injection quantity Fbasec (=base fuel injection quantity Fbasecoefficient Ksub). The coefficient Ksub is determined on the basis of the downstream-side feedback correction value Vafsfb(k) in such a manner that the control-use base fuel injection quantity Fbasec (accordingly, the fuel injection quantity Fi) is determined such that the output value Vabyfs from the upstream air-fuel-ratio sensor 66 changes in the direction of canceling the change in the downstream-side feedback correction value Vafsfb(k).