The invention discloses an incinerator of multi-element multi-dimension chemical hazardous waste. The incinerator comprises an auxiliary fuel feeding device, a tilting-type reciprocating grate, a primary air system, a secondary air system, a tertiary air system, a lower part grate combustion chamber, an upper part furnace combustion chamber, a waste liquid nozzle, a waste gas nozzle, a solid waste throw-in mouth, a secondary auxiliary combustion system and a slag removing device; the incinerator is provided with a high-temperature fire bed and a larger furnace chamber space; and after the waste is thrown into the incinerator, the waste can be combusted in the furnace through preheating and decomposition, the combustion is rapid and thorough, and poisonous substances in the chemical hazardous waste can be removed effectively. The incinerator provided by the invention has the advantages of simple manufacturing process and is safe and stable in operation, is convenient to maintain, can burn waste gas, waste liquid, solid waste and the like simultaneously, and is suitable for popularizing and using in the burning treatment of the multi-element waste.