A curved display device has a plurality of layers including elements for implementing an input image, and has a neutral plane (NP), a first area positioned in any one of upper and lower sides of the NP with compressive stress applied thereto, and a second area positioned in the other of the upper and lower sides of the NP with a tensile stress applied thereto The curved display device includes at least one first curved portion; and at least one second curved portion bent in a direction different from a direction of the first curved portion. The first curved portion and the second curved portion are different in thickness, and positions of the NPs.