A conventional technique performs valve close control of an EGR valve after an EGR-gas back flow is detected. Therefore, the conventional technique has a subject that, if an EGR-gas flow direction changes from forward flow to back flow, a back flow condition will last not only for a response delay time of a detector but also for the judgment time by calculation processing and the actuation time of the EGR control valve. There is provided a control apparatus of an EGR control valve, comprising: an EGR control valve which is provided in an exhaust gas recirculation passage to circulate exhaust gas of an combustion engine from an exhaust gas passage to an intake air passage; measurement means for measuring a flow rate of EGR gas flowing in the exhaust gas recirculation passage; and control means for receiving an input from the measurement means and closing the EGR control valve if the EGR-gas flow rate is smaller than a predetermined threshold value when the EGR gas is flowing from the exhaust side to the intake side of the internal combustion engine.