The present invention provides a method of manufacturing a plate glass member to be used in an electronic device, and a heat-drawing apparatus employing the method, the manufacturing method comprising: introducing a glass base material analogous to the glass member into a furnace body of which the temperature has been held equal to or higher than a softening temperature of the glass base material; heat-drawing the glass base material within the furnace body; and extracting the heat-drawn glass base material outside the furnace body, wherein the glass base material is introduced into the furnace body as a gap between the glass base material and an inner wall of the furnace body is shielded at a slot of the furnace body for the glass base material. Since dispersion of height dimension is reduced in a spacer, it is possible to increase a yield in manufacturing processes and reduce a load for inspecting products.