To achieve a waste melting apparatus and a waste melting method even without any thin crucibles.

In the waste melting apparatus 10 having a vertical type furnace wall section 20 where a heating coil 21 is incorporated and an elevatable furnace bottom section 30, a conductive high melting point member such as carbon is adopted for an inner wall 24 at the furnace wall section, the inner wall surface is formed in a tapered shape, and heat generated on the inner wall 24 due to induction heating is retained in the furnace by alumina felt 22 or the like. Additionally, another high melting point member such as SiN is adopted for the crucible 40. Then, when waste 50 is thrown into the crucible 40 for melting, the outer wall surface of the crucible 40 is brought into contact with the inner wall surface of the furnace wall section 20 for heating. Then, the crucible 40 is hardened together with a melt hardened object 50 for taking out of the furnace.