In the technical field of display, a color filter substrate and a curved display device, which can solve the technical problem of low aperture ratio of the existing curved display device, are provided. The color substrate comprises a plurality of sub pixel regions arranged as an array, and black matrixes for separating the sub pixel regions from each other. Measured along a transverse direction, the transverse width of each of all or some of the black matrixes located in the regions at both sides of the color filter substrate is smaller than that of each of the black matrixes located in the region at the center of the color filter substrate. The present disclosure can be applied to curved display device, such as liquid crystal television and curved liquid crystal display device.