Abstract: A curing apparatus for continuously producing shaped articles of cross-linked polymeric material in which a curing tube is adapted to be heated by the direct passage of electric current in the tube. One terminal of a power supply is connected to the opposite ends of the voltage applying section to be heated, while the other terminal of the power supply is connected to the tube at a position where the voltage applying section is divided into two so that one portion on the inlet side of the tube is lower in electric resistance than the other portion on the outlet side thereof. The increased heat generation resulting from the lower electric resistance of the inlet-side portion maintains the tube inlet portion at a high temperature, despite its tendency toward a lower temperature due to continuous introduction of the low-temperature polymeric material to be cured, to thereby achieve an improved production efficiency.