When an increase in a temperature of an exhaust-gas purifying catalyst device in an in-cylinder injection type internal combustion engine is demanded, a temperature-increase control section in an electronic control unit accomplishes stratified combustion by causing each fuel injection valve to inject fuel directly into the associated combustion chamber in a compression stroke in such a way that the air-fuel ratio of the internal combustion engine is in a vicinity of a stoichiometric air-fuel ratio. This allows the temperature of the exhaust-gas purifying catalyst device to be maintained or increased without increasing fuel consumption.