A gasification melting facility comprises: a fluidized bed gasification furnace that generates pyrolysis gas by thermally decomposing waste and discharges incombustibles; a melting furnace into which the pyrolysis gas is fed; a pyrolysis gas passage that connects the fluidized bed gasification furnace and the melting furnace; a grinder that grinds the incombustibles discharged from the fluidized bed gasification furnace by passing the incombustibles through a plurality of rods; a vibratory sifter that screens the incombustibles ground in the grinder; a fixed amount feeder that feeds at a fixed amount the incombustibles that pass through the vibratory sifter, the fixed amount feeder including a plurality of transfer chambers rotatable between a position to receive the incombustibles from the vibratory sifter and a position to discharge the incombustibles; and an airflow conveyor that conveys the fixed amount of the incombustibles from the fixed amount feeder together with airflow.