An object of this invention is to provide a technology wherein a stratification of an EGR gas with an air-fuel mixture or a fresh air is achieved and capable of introducing the EGR gas in a large quantity, even when an engine load is high as an operation state of an internal combustion engine. With this invention, when a stratified combustion is performed by introducing the EGR gas, the fresh air is supercharged by a compressor, a fresh air blocking valve is closed to block inflow of the fresh air into a first intake port, and a variable valve mechanism opens a first intake valve before opening of a second intake valve, and, thereafter, opens the second intake valve.