The invention discloses an optical fiber drawing furnace and an optical fiber drawing method, and belongs to the technical field of optical fiber production devices. The optical fiber drawing furnacecomprises a furnace body, a heat insulator, a heating body, a driving rotating device and a heater, the heat insulator is arranged in the furnace body and wraps the heating body, the driving rotatingdevice is used for driving the heating body to rotate, the heater is arranged in the periphery of the furnace body, the heater comprises a heating coil, and an optical fiber preform traverses througha hollow space in the heating body and is drawn during optical fiber drawing. The optical fiber drawing furnace reduces the size of the furnace body, simplifies the structure, reduces the amount of anintroduced inert gas, reduces the energy consumption, and saves the cost; and the structure of the optical fiber drawing furnace can form a uniform and stable heat field, improves the stability of optical fiber production and facilitates the production of optical fibers with good performances, and the furnace and the method can be widely used in the technical field of optical fiber production.