Method and apparatus for heat treating and processing an edge of a large thin glass sheet used for a liquid crystal TV or the like. The method for processing an edge of a glass substrate according to the present invention is characterized by cutting an edge of a glass substrate by bringing a heated member into contact with the edge of the glass substrate that is cooled, and then moving the heated member. According to the present invention, provided is a new method of removing the edge of glass in a strip shape without producing dust. Also, according to the method of the present invention, since it is unnecessary to heat the glass at a high temperature, a large furnace is not necessary. Further, since a post-processing operation such as preheating or annealing is unnecessary, the manufacturing process is highly simplified.