In a method for producing a fluorophosphate optical glass comprising melting a glass raw material to give a molten glass, and refining, homogenizing and then quickly quenching the molten glass to produce the fluorophosphate optical glass, even if the glass is flown from a refining tank that is set to a high temperature to an operation tank that is set to a low temperature, bubbles are not generated in the glass.The content of Fe in terms of Fe2O3 and the content of Cu in terms of CuO is controlled so that the total of the contents of Fe and Cu is 20 ppm or more, and the obtained fluorophosphate optical glass has such transmittance property that the internal transmittance in terms of a thickness of 10 mm becomes 98% or more at a wavelength region of at least from 400 to 500 nm.