The present invention relates to a bending apparatus and a bending method for a glass sheet, which realize bending of a glass sheet with high precision by carrying out up-down movement of each of conveying rollers at an appropriate timing with an appropriate amount.A bending apparatus for a glass sheet comprising a roller conveyer having a plurality of conveying rollers for conveying a glass sheet heated by a heating furnace in a conveying direction; and a servomotor for moving each of the conveying rollers up and down in a direction perpendicular to the conveying direction to form a predetermined curved plane on a conveying plane defined by the plurality of conveying rollers and moving the curved plane in the conveying direction along with movement of the glass sheet in the conveying direction so as to bend the glass sheet along the conveying direction; wherein the bending apparatus for a glass sheet further comprises an optoelectric sensor and a pulse generator for detecting a position information of the glass sheet on the roller conveyer; and a controlling means for controlling the up and down movement of each of the conveying rollers by the servomotor in accordance with the detected position information so as to form a predetermined curved plane on the conveying plane in accordance with the position of the glass sheet.