Abstract: A waste melting apparatus includes a waste melting vessel placed in a furnace body made of nonmetallic material and an induction heating coil is provided around the furnace body. The waste melting vessel is made of conductive ceramic material such as C-SiC or C-Al.sub.2 O.sub.3 so that the vessel itself generates heat by induction heating to melt waste in the vessel effectively and safely even within a temperature range of 1,300.degree.-1,600.degree. C. The furnace body may be provided with a vertically movable bottom plate for openably closing the bottom of the furnace body permitting the waste to be melted and solidified in the waste melting vessel in a batch-type system. Alternatively, the waste melting vessel may be provided with a melt discharge pipe at the bottom thereof and the discharge pipe downwardly extends through the bottom plate of the furnace body and thereby the waste can be continuously melted and discharged from the melting vessel into a container placed under the discharge pipe.