A backrest device for a chair, in which a backboard is easily flexible without a reduction in its strength, thus making the chair comfortable to sit on. The lower ends of both right and left sides of the back frame are supported at both sides at the back of a leg body, and the flexible back board is formed on the inside of rear frames. A large number of openings are formed in the backboard so as to be close to each other in the top-bottom and left-right directions. Between openings adjacent to each other in the left-right direction, there is formed a connection section continuing in the top-bottom direction, and the dimension in the front-back direction of the connection section is made larger than the dimension in the left-right direction of the connection section.