By this steam flow rate control method for a boiler, the flow rate of steam generated from the boiler provided in an incinerator is controlled by supply of combustion air and exhaust gas recirculation gas to a combustion chamber in the incinerator. The method comprises: detecting the flow rate of generated steam; calculating the flow rate of operational steam from the flow rate of generated steam and a target flow rate of steam; calculating a supply flow rate of combustion air on the basis of the flow rate of operational steam; supplying the combustion air to a combustion chamber at the supply flow rate of the combustion air; calculating a reference supply flow rate of exhaust gas recirculation gas on the basis of the incinerator temperature and the flow rate of outlet exhaust gas; calculating a supply flow rate of exhaust gas recirculation gas on the basis of the flow rate of operational steam and the reference supply flow rate of exhaust gas recirculation gas; and supplying the exhaust gas recirculation gas to the combustion chamber at the supply flow rate of the exhaust gas recirculation gas.
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