A catalytic combustion type heater set so as to reduce the exhaust emission at the time of ignition and the time of extinguishment by, at the time of ignition, providing a precombustion period and making the amounts of the fuel and air fed larger than the air-fuel ratio of the steady combustion period to prevent incomplete combustion and by, at the time of extinguishment, stopping the feeding of fuel and feeding only air in an amount lower than that before the fuel stops being fed so as to completely burn the remaining fuel, then feeding purging air.