Abstract: The invention relates to a method of bending a glass sheet to be tempered as well as to a glass sheets bending and tempering apparatus. An array of conveyor rollers in a glass sheets bending and tempering section is adapted to be curved around an axis of curvature transverse to the traveling direction in a manner that, beginning from a horizontal plane, the plane of a roller line curves with a continuously diminishing radius of curvature until the final radius of curvature is reached. During the curving process, the tangent of the mid-portion of a curved conveyor section is maintained substantially in a horizontal plane. Thus, each point in a glass sheet curves substantially at the same rate over the entire glass sheet area and, hence, local rapid deformations do not occur. During the curving process, a glass sheet is maintained in motion by means of the rollers of a curved roller conveyor.