The combustion controller controls the fuel and air that are supplied to the combustion furnace for burning substances, and addresses the aforementioned object by including: fuel supply unit for supplying fuel and air into the combustion furnace; air supply unit for supplying air into the combustion furnace, the air supply unit being disposed downstream of the fuel supply unit in the direction of flow of combustion air; concentration measuring unit for measuring the concentration of hydrogen sulfide of the combustion air by passing a measurement beam of light through the combustion air at a measurement position downstream of the fuel supply unit in the direction of flow of the combustion air; and control unit for controlling the amount of air supplied from the fuel supply unit based on a measurement result provided by the concentration measuring unit.