To solve the problems wherein the flaws or the like on a glass surface are enlarged and flatness is deteriorated in a chemical polishing step for reducing the thickness of a glass substrate for a liquid crystal display.

The enlargement of the flaws is suppressed and the liquid crystal display having an excellent display surface quality is efficiently manufactured at a low cost by polishing a glass substrate surface by a chemical polishing fluid containing a mixture liquid of hydrofluoric acid and ammonium fluoride in a molar concentration ratio of 1-2.5 and using water as the solvent.