A liquid cooling method and apparatus for rapid cooling of a hot glass fiber. In FIG. 1, an open ended liquid coolant container (12) is provided at its lower end with an inverted funnel surface (34). A vertically running, hot glass fiber (42) of indefinite length is continuously drawn through the container, as the container continuously receives a coolant liquid at its upper open end (30). The liquid continuously drains from the container lower open end (32) by flowing along flow surface (36) of the inverted funnel (34), downwardly and away from the glass fiber (42). The temperature of the fiber relative to the temperature of the coolant liquid is such that a vapor barrier surrounding the hot fiber is formed due to boiling of the liquid in a zone surrounding the fiber. This vapor zone facilitates diversion of the liquid (change in direction of flow) from the vertical to an angle thereto, along the inverted funnel surface. The substantially cooled hot glass fiber passes out of the container lower end for further processing, such as coating the fiber. The method and apparatus yields cooled glass fiber not wetted by the coolant liquid.