In a valve timing control apparatus for an internal combustion engine to control a rotation phase of a camshaft relative to a crankshaft so that opening and closing timing of intake and exhaust valves is variably controlled, a feedback correction amount of the rotation phase is calculated by a sliding mode control using a switching function obtained by adding a deviation between a target value and an actual value to a differential value of the deviation, to thereby feedback control using the feedback correction amount. According to this constitution, a control can be executed with high robust and with low influence due to disturbances.