A waste incineration method and a device therefor that incinerate waste, such as urban refuse, by using a grate incineration furnace, fluidized bed incineration furnace or the like while suppressing the concentration of dioxins, characterized, in that it is found that the S component or nitrides contained in sludge is effective in suppressing formation of dioxins, and waste, sludge, solid fuel, plastics and the like are mix-burned in a waste incineration system; in addition, the temperature of combustion exhaust gases and the SOx concentration after mix-burning are controlled, thereby reducing generation of dioxins.