A method produces an optical fiber without requiring a vertically large space, and an apparatus implements the method. The method produces an optical fiber by heating a lower-end portion of an optical fiber preform with a heating element so that the optical fiber preform can be drawn. In this method, the optical fiber preform is drawn by moving a heat-generating portion of the heating element from the lower-end portion toward an upper-end portion of the optical fiber preform. The apparatus produces an optical fiber by heating a lower-end portion of an optical fiber preform with a heating element so that the optical fiber preform can be drawn. The apparatus comprises a mechanism for moving a heat-generating portion of the heating element from the lower-end portion toward an upper-end portion of the optical fiber preform.