In an exhaust gas recirculation system for an internal combustion engine, which includes a turbocharger; a high-pressure EGR unit; a low-pressure EGR unit; a high-pressure EGR valve; and a low-pressure EGR valve, first, the opening amount of the high-pressure EGR valve is controlled in a feedback manner, and, then, the opening amount of a low-pressure EGR valve is controlled in a feedback manner in a transitional operation period in which the operation mode of the internal combustion engine is changing. In this way, the intake air amount is promptly adjusted to the target intake air amount without causing hunting.