A stoker furnace (1;1B;1C) which is configured to feed an incineration object from a feeder, comprising a drying stage, a combustion stage, and a post-combustion stage for performing drying, combustion and post-combustion respectively, while sequentially conveying the incineration object in a conveying direction, in the drying stage, the combustion stage and the post-combustion stage, which include a plurality of fixed fire grates and a plurality of movable fire grates, the stoker furnace (1;1B;1C) comprising: a burn out point detection device (31;34) configured to obtain a detection signal corresponding to a position of a burn out point of the incineration object; a first driving device configured to drive the movable fire grates of the drying stage; a second driving device configured to drive the movable fire grates of the combustion stage; a third driving device configured to drive the movable fire grates of the post-combustion stage; and a control device (30;30B) configured to control the first driving device, the second driving device, and the third driving device, characterized in that the drying stage is disposed to be inclined so that a downstream side in the conveying direction is directed downward, the combustion stage is connected to the drying stage and is disposed to be inclined so that the downstream side in the conveying direction faces upward, the post-combustion stage is continuously connected to the combustion stage without a step and is disposed to be inclined so that the downstream side in the conveying direction faces upward, and the control device (30;30B) is configured to receive the detection signal, and control the second driving device and the third driving device so that, when a position of the burn out point corresponding to the detection signal acquired by the burn out point detection device (31;34) does not exceed a target burn out point (Pt), the driving speeds of the movable fire grates of the combustion stage and the movable fire grates of the post-combustion stage are not changed, and when the position of the burn out point corresponding to the detection signal is located on the downstream side of the target burn out point (Pt) in the conveying direction, the driving speed of the movable fire grates of the post-combustion stage is set to be slower than the driving speed of the movable fire grates of the combustion stage. a burn out point detection device (31;34) configured to obtain a detection signal corresponding to a position of a burn out point of the incineration object; a first driving device configured to drive the movable fire grates of the drying stage; a second driving device configured to drive the movable fire grates of the combustion stage; a third driving device configured to drive the movable fire grates of the post-combustion stage; and a control device (30;30B) configured to control the first driving device, the second driving device, and the third driving device, characterized in that the drying stage is disposed to be inclined so that a downstream side in the conveying direction is directed downward, the combustion stage is connected to the drying stage and is disposed to be inclined so that the downstream side in the conveying direction faces upward, the post-combustion stage is continuously connected to the combustion stage without a step and is disposed to be inclined so that the downstream side in the conveying direction faces upward, and the control device (30;30B) is configured to receive the detection signal, and control the second driving device and the third driving device so that, when a position of the burn out point corresponding to the detection signal acquired by the burn out point detection device (31;34) does not exceed a target burn out point (Pt), the driving speeds of the movable fire grates of the combustion stage and the movable fire grates of the post-combustion stage are not changed, and when the position of the burn out point corresponding to the detection signal is located on the downstream side of the target burn out point (Pt) in the conveying direction, the driving speed of the movable fire grates of the post-combustion stage is set to be slower than the driving speed of the movable fire grates of the combustion stage.