Abstract: This invention provides a method and an apparatus for producing a bent glass sheet. A heated glass sheet (4, 24, 24*) conveyed from a heating furnace (1, 21) is bent by pressing with at least one belt (5, 9, 25) made of a heat-resistant material against a bending member (6, 10, 26, 28). The bent glass sheet is further conveyed and cooled for quenching or annealing in a cooling apparatus (3, 23). The bent glass is cooled after separating the belt. According to this invention, the bent glass sheets having surfaces on which defects, such as marks of rolls, are suppressed can be produced efficiently.