Abstract: A dual-medium TFB gasification incinerator and implementation method of a waste gasification incineration. The incinerator includes an incinerator body, a gas-solid separator, a waste heat recovery device, and an incinerator body support. The incinerator body includes a gasification section, a combustion section, and a heat exchange section that are all sequentially connected from bottom to top. The combustion section and the heat exchange section are indirectly connected. The incinerator body support includes at least one layer of transverse beam, which is located at a level higher than a connection part of the combustion section and faces the incinerator body. Each of the at least one layer of transverse beam is provided with a layer of support plate on a side close to the incinerator body. Each layer of support plate supports a first-stage of heat exchange furnace wall and heat conduction oil coil pipes provided on an inner surface of the first-stage.