With conventional bent glass plates and fabricating method thereof, it has been difficult to fabricate bent glass plates with high productivity while achieving both high shape precision and high surface smoothness. According to the present invention directed to a glass plate with 2 mm or less thickness, a bent glass plate for optical use with a shape precision PV value of 50 μm or less and a surface roughness Ra value of 5 nm or less was achieved by appropriately controlling the temperature of the glass plate, the temperatures of upper and lower press dies, and the press pressure; and quickly and uniformly cooling the glass plate to a predetermined temperature.