The invention provides a coal-fired cooking heating stove, a cooking heating method and application. The coal-fired cooking heating stove is characterized in that an air distribution function and a slagging function are separated, that is to say, a grate is obliquely arranged to achieve effects of air distribution and fuel coal support, and a special bottom slag discharge plate is used for slagging; the bottom slag discharge plate is located at the tail end of the air distribution grate, completely combusted bottom slag is located on the upper portion of the bottom slag discharge plate, and uncombusted coke cannot be discharged during slagging. The coal-fired cooking heating stove has the advantages that the air distribution function and the slagging function are separated, the grate is reasonably arranged, fuel coal waste is avoided, semi-coke combustion area destroying even stove collapse caused by excessive slagging are avoided, and the fuel coal in the coal-fired cooking heating stove can be sufficiently and stably combusted in a smoke-free manner.