This chapter introduces principles, mixing, ignition and combustion and controls processes of oxyfuel combustion which aims to achieve CCS (Carbon Capture and Storage) in IC (Internal Combustion) engines. By replacing air with pure oxygen and using hot and/or cooled EGR as dilutant gas for controlling the combustion process and flame speed, the mixing and combustion process will be explained. Fuel delivery, pre-mixing arrangement between pure oxygen and dilutant gas and their influences on combustion performances will be discussed. HCCI (Homogeneous Charge Compression Ignition), water injection, etc., technologies for enhancing the combustion efficiency will be demonstrated in detail. Finally, the emission characteristics and possible implementation of practical engine operation will be described.