The invention is directed to a method for reducing striae in ultra-low expansion glass by heat-treating the glass at temperatures above 1600° C. for a time in the range of 72-288 hours. In one embodiment of the invention the glass is heat treated without forcing the glass to flow or “move”. The invention was found to reduce the magnitude of striae in an ultra-low expansion glass by 500%, and particularly reduces most of the “higher frequency” striae.