The invention movable type complete equipment for thermal desorption of polluted waste and a method. The complete equipment comprises a feeding module, a hot phase separation module, a discharging module, a water treatment module and a waste gas treatment module. The complete equipment fills up a vacancy in domestic thermal desorption advanced technology. The problem of governing polluted waste (soil) containing mercury, arsenic, organic matters, organic pesticides and the like can be solved rapidly and efficiently by the complete equipment for thermal desorption. The complete equipment for thermal desorption has the beneficial effects that environmental safety is good, the application range of a material is wide, and the thermal desorption temperature is low. The manner of condensation isadopted in the waste gas treatment module to recycle the organic matters, arsenic and mercury in the polluted waste (soil); reutilization of resources is achieved; higher energy recycling efficiencyis achieved; circulation inside the equipment is achieved after waste water is treated; natural gas or light diesel is adopted as the fuel; and pollutant content in the discharged tail gas is little.The movable type complete equipment for thermal desorption of polluted waste is more environmentally friendly and has a wide application prospect.