To provide a continuous arc plasma heater which can heat a work continuously with high productivity without limiting the characteristics of the work.

The continuous arc plasma heater comprises a heating chamber 1 for moving a work 8 while heating, a plurality of electrodes 2 arranged to become narrower toward the forward end, and an AC three-phase power supply 3 for applying voltages of different phase sequentially between respective electrodes 2. Forward end of each electrode 2 is placed in the heating chamber 1 and an arc is generated between respective electrodes 2 in order to heat the work 8 continuously in the heating chamber 1. Since the work 8 is heated continuously, productivity is enhanced greatly as compared with a prior art butch type arc furnace and since the work 8 is heated by an arc generated between the electrodes 2, even a nonconductive work 8 can be heated without limiting the characteristics thereof.