A process and a device for the bending on a frame of at least one glass sheet by gravity, the bending being performed in at least two stages during which the glass sheet or sheets undergo a deformation by gravity. In a first stage, the glass sheet or sheets are bent according to a first shape corresponding to a blank or precursor of the final shape. In a second stage, the glass sheet or sheets are bent according to the final shape. The device includes a frame 1 of which at least one part has two elements, one element forming a blank frame (2, 3, 4, 5) and another element forming a final frame (2, 3, 12, 13).