To obtain defective shape preventing means applicable to all kinds of steels in a device for electrically heating a steel sheet.

Pinch rolls 11, 12 are arranged as a device for sandwiching the steel sheet 1 between a low temp. side electrically conducting roll 2 and a high temp. side electrically conducting roll 4, and the steel sheet 1 is electrically heated while tensile force of respective steel sheets traveling between the low temp. side electrically conducting roll 2 and the pinch roll 11 and between the pinch roll 11 and the high temp. side electrically conducting roll 4 independently controlled one of another.