A system for polishing a glass includes a lower unit capable of rotating a glass placed at a fixed position, an upper unit capable of contacting with the glass and being passively rotated due to the rotation of the glass, and a moving unit for moving the upper unit in a horizontal and/or vertical direction. The upper unit includes a fixed platter fixed to a spindle of the upper unit, a polishing platter installed movably with respect to the fixed platter, and a pressing member interposed between the fixed platter and the polishing platter so as to keep the uniformity of pressure applied from the polishing platter to the glass.