The invention discloses a combustion device capable of screening waste biomass. The combustion device specifically comprises a waste biomass funnel, a quantitative delivery feeding device, an impurity winnowing pipe, an air blower, a vertical cyclone combustion furnace, a heat absorbing device and an induced draft fan, wherein the waste biomass funnel is arranged at one end of the quantitative delivery feeding device, and the other end of the quantitative delivery feeding device extends into the impurity winnowing pipe; the air blower is connected to the pipe wall at the lower end of the impurity winnowing pipe; the upper end of the impurity winnowing pipe is communicated with the vertical cyclone combustion furnace; the top opening of the vertical cyclone combustion furnace is communicated with the left end of the heat absorbing device; the right end of the heat absorbing device is connected with the induced draft fan through a pipeline. According to the combustion device capable of screening waste biomass, the defect that the conventional combustion device is complex in equipment installation and incapable of screening waste biomass is overcome, waste biomass is conveyed in a quantitative manner through the quantitative delivery feeding device, good quality waste biomass is screened out by the impurity winnowing pipe, waste biomass is dispersed by the air blower in the combustion furnace to achieve complete combustion, the problems that the combustion materials are liable to agglomeration during combustion to be adhered to the bottom of the combustion furnace, the tail gas generates a lot of black smoke, and furnace slag is concentrated at the bottom of the vertical cyclone combustion furnace and difficult to clean are solved.