There is provided a curved display device including a first substrate, a thin film transistor (TFT) disposed on the first substrate, a pixel electrode connected to the TFT, a second substrate facing the first substrate, a common electrode positioned on the second substrate, and a liquid crystal layer interposed between the first substrate and the second substrate, wherein the pixel electrode includes a cross-shaped stem portion including a horizontal stem portion and a vertical stem portion intersecting the horizontal stem portion and a plurality of fine branches extending from the cross-shaped stem portion, each of the fine branches includes a first portion and a second portion having a width greater than that of the first portion, and the first portion is connected to the cross-shaped stem portion.