To provide a method for mirror finishing with excellent finished surface roughness efficiently in polishing the surface of plate glass.

A method for machining the surface of the plate glass is to polish the plate glass while supplying aqueous slurry containing cerium oxide fine particles to a work face of a grinding wheel formed from a resin grinding wheel for polishing. As for the resin grinding wheel abrasive grain fine particles comprising condensation products of polyvinyl alcohol and aldehyde and cured body made of a thermosetting resin fixed as bonding material are selectively used.