To restrain the progress of chipping or cracking generated on the ridge line of the edge after chamfering a glass substrate and further obtain the form grinding wheel for chamfering for extending the life of a grinding wheel.

The outline of the grinding surface 1e of a grinding wheel 1 is constituted of plural straight lines or curved lines and the incidence angle 1g of the grinding wheel for the surface of a glass substrate is made to 10 or less. The diameters of diamond grinding grains vapor depositted to the grinding surface 1e of the grounding wheel 1 are different each other in the axis direction of the grinding wheel 1. Plural minute cooling water delivery holes are arranged at an equal interval on the grinding surface 1e, in order to increase the cooling action of the grinding surface 1e.