In a heating furnace an optical fiber preform is heated and the optical fiber is drawn. The obtained optical fiber is cooled by a cooling gas in a cooling apparatus provided beneath the heating furnace, then a resin is coated on the outer circumference of this optical fiber by a resin coater. At this time, the blowing direction of the cooling gas blown out from the optical fiber inlet of the cooling apparatus is inclined exactly by a predetermined angle (.theta.) with respect to the axial line of the running optical fiber. As a result, even if no rise suppression gas is used, it is possible to prevent the cooling gas blown upward from the cooling apparatus from entering into the heating furnace and thereby to prevent the lowering of the quality of the optical fiber due to the adhesion of dust. Also, a cooling apparatus container enclosing the cooling apparatus is provided.