A backplane structure includes a backplane and a curved supporting frame. The curved supporting frame includes a first and a second region, wherein, a curvature radius of the second region is less than a curvature radius of the first region. The curvature radiuses of the supporting frame are evenly changed from the first region toward the second region. The backplane is a flat-thin sheet, and the supporting frame is installed at a surface of the backplane and bends the backplane to form a curved surface having an even curvature radius. A curved display device includes a display panel and a backplane structure. Different positions of the supporting frame provide different curvature radiuses to apply different supporting forces near or away from the supporting frame such that all positions of the backplane can maintain a target curvature radius. Curvature radiuses of the backplane structure and the curved display device are equal.