The invention relates to a superconductive heating device which comprises a tubular casing and a wicking core, wherein the wicking core is arranged inside the casing and closely attached to the inner wall of the casing; a cavity is formed inside the wicking core; two ends of the casing are sealed by end covers; the inside of the casing is in a vacuum state; a heat conducting fluid infiltrates into the wicking core; the casing comprises a heating section, a heat insulation section and a condensation section; a heating plate with a superconducting material is arranged on the heating section; the heating plate is connected with an external power supply; and the wicking core is arranged inside the casing in an inclined mode. When the superconductive heating device works, a liquid working medium absorbs heat transferred from a pipe wall at the heating section of the casing, the temperature of the liquid working medium rises, and the liquid working medium is gasified into vapor; at the same time, the pressure is increased; therefore, the working medium flows along the wicking core into the condensation section with low pressure; after releasing heat at the condensation section, the working medium turns into the liquid again; the liquid flows along the wicking core again and returns to the heating section by means of the action of capillary force; then the liquid absorbs heat again and enters the next cycle; and the cycle is repeated, so that heat transmission and heat transfer are achieved.