The invention relates to a plasma incinerating and melting system for disposing furnace ash and furnace slag. The plasma incinerating and melting system comprises a dust catcher, a furnace slag stock bin, a furnace ash stock bin, an additive stock bin, a furnace slag feeding device, a furnace ash feeding device, an additive feeding device, a mixing device, a lifting device, a feeding stock bin, a spiral conveyor, a plasma incineration furnace, a water quenching machine, a glass body material box, a compressor and an air storage tank. The plasma incinerating and melting system can perform harmless and recycling treatment on the furnace ash and the furnace slag of a hazardous waste incinerator, and the furnace ash and the furnace slag, which are hazardous waste products, at the tail part of a hazardous waste treatment rotary kiln form nontoxic and harmless glass bodies which can serve as construction and building materials to be recycled, so that resources are saved, and environmental protection is facilitated. Therefore, the plasma incinerating and melting system can be widely applied to harmless and recycling treatment of furnace slag and fly ash at the tail part of the rotary kiln, and can realize whole-course automatic control.