In an internal combustion engine that includes: an EGR channel that connects a portion of an exhaust channel on the upstream side of a downstream-side catalyst and a portion of an intake channel on the downstream side of both of a compressor and a throttle valve; and an EGR valve configured to open and close the EGR channel, a control apparatus is programmed, where an occurrence of a blow-through air that flows from the intake channel to the exhaust channel via the EGR channel is detected, to limit a throttle downstream pressure to reduce the overheating of the downstream-side catalyst.