A combustion control apparatus for an internal combustion engine having an exhaust gas purifier in an exhaust passage, includes a controller that controls supply of fuel and air to the engine. The controller is configured to produce preliminary combustion at or near compression top dead center and main combustion after an end of the preliminary combustion under a predetermined condition based on a condition of the exhaust gas purifier. The controller is further configured to determine a target intake air quantity by adding an increase correction to the target intake air quantity based on a torque correction value and determine a target fuel injection quantity by calculating the target fuel injection quantity from an actual air quantity and a target air/fuel ratio. A combustion control method is also provided.