The invention provides an inclined pushing downward-discharging type trash remover. The inclined pushing downward-discharging type trash remover comprises a rack arranged in an inclined manner, a grating and a rotary sweeping device used for sweeping slag materials on the grating are arranged on the rack, a slag material collecting device is arranged on one side of the grating, and is connected with a discharging pipe, and a piston and a push rod are arranged in the slag material collecting device; the piston is arranged at the end of the push rod; the rotary sweeping device carries out rotary sweeping to be in the limit state along the grating, and a cavity is formed through folding of the rotary sweeping device and the slag material collecting device; the piston and the push rod move downwards along the cavity from the top of the cavity to push the slag materials to the discharging pipe, the rotary sweeping device returns to be in the initial state, the slag material collecting device is opened, the piston and the push rod move upwards to return to be in the to-be-pushed state from the bottom of the slag material collecting device, and one reciprocating operation is completed; and in the discharging process, natural compressing is carried out, and the water containing content of the slag materials is greatly reduced. All treatment is completed in front of the grating, the materials cannot be rotated to the position behind the grating, and slag leaking is completely eradiated; and bottom silt is pushed to the slag material collecting device and the discharging pipe at the same time, and cost of subsequent processing is greatly reduced.