A curved display device includes: first and second substrates having a first panel portion at a center thereof and having second and third panel portions at respective sides of the first panel portion; gate and data lines crossing each other to define a plurality of sub-pixels; a black matrix having a plurality of open portions corresponding to respective ones of the sub-pixels; and first to third color filters between the black matrix and the first substrate. The black matrix between the open portions has first to third black matrix widths in the first to third panel portions, respectively, and the open portion has first to third open portion widths in the first to third panel portions, respectively. Each of the second and third BM widths is equal to or greater than the first black matrix width, and the second and third BM widths are equal to each other.