A backrest device for a chair, capable of, without a reduction in its strength and rigidity, effectively bending backward so as to follow the shape of the back of a person seated on the chair, providing the person with excellent sitting comfort. In the backrest device, a back board is supported by a backrest frame, and the back board has a flexible back stopper on the inner side of a back frame. The thickness of a vertical intermediate section of the back stopper is gradually increased from both left and right sections of the intermediate section toward the center such that the thickness is less in both left and right sections and is maximum at the center.