A control apparatus for an internal combustion engine is provided that can favorably determine a shut-off failure of an EGR valve under a high intake pressure condition in which an intake pressure becomes higher than an exhaust pressure. In a case where the high intake pressure condition and a transition condition are established at a time of a shut-off instruction on shutting off the EGR valve, it is determined that a shut-off failure of the EGR valve has occurred if an actual measurement value of the air-fuel ratio of exhaust gas detected by a main air-fuel ratio sensor is a value that is leaner by an amount equal to or greater than a predetermined lean determination value relative to a target value of the air-fuel ratio of the exhaust gas.