A fuel supply duct, which supplies a mixed fluid of a solid fuel and carrier gas to one or more burners provided on the walls of a furnace, is provided with a branching part, and each of a plurality of branch ducts, which branch out from the branching part, is connected to a corresponding burner. Also a damper, with which the tilt angle with respect to the direction of flow of the mixed fluid can be changed, is positioned in the fuel supply duct at the upstream side of the branching part so that a mutual difference will arise in the solid fuel concentrations of the mixed fluid supplied to the respective branch ducts. A fuel distributor for fuel supply duct is thus arranged. The tilt angle of the above-mentioned damper is adjusted to increase the concentration of solid fuel in the mixed fluid supplied to a specific burner. At a burner to which the high solid fuel concentration is supplied, stability of ignition and stable combustion of the ignited flame can be obtained during low load operation.