The air-fuel-ratio control apparatus for an internal combustion engine obtains an upstream-side feedback correction value DFi for feedback-controlling an air-fuel ratio on the basis of a value (Fcrlow(k−N)) that is obtained by performing a low-pass filter process with a time constant τ to a value corresponding to an upstream-side target air-fuel ratio abyfr at the time point a dead time, which corresponds to the period from a time when the instruction for injecting fuel to the time when exhaust gas generated based up on a combustion of the fuel reaches an upstream air-fuel-ratio sensor 66, before the present point in time, and a value (Fc(k−N)) corresponding to an output value Vabyfs from the upstream air-fuel-ratio sensor 66 at the present time. The time constant τ of the low-pass filter process is set to a value equal to the time constant of the response delay of the upstream air-fuel-ratio sensor 66.