A flexible display device comprising: a substrate including a display area arranged to display images and a non-display area, the non-display area including a bending area where the flexible display device is capable of being bent; a link line including a first link line and a second link line in the non-display area; a first buffer layer on the substrate in the bending area; a bending connection line on the first buffer layer, wherein the bending connection line is connected in the bending area with the link line; a second buffer layer on the bending connection line in the bending area, wherein the first buffer layer and the second buffer layer are formed of the same material and with the same thickness; a first contact hole through the second buffer layer in the bending area; and a second contact hole through the second buffer layer in the bending area; an inorganic layer that surrounds the bending connection line, wherein the inorganic layer is between the first buffer layer and the second buffer layer in the bending area of the substrate, the first buffer layer is directly under the inorganic layer and the second buffer layer is directly on the inorganic layer, wherein the inorganic layer comprises a first inorganic layer and a second inorganic layer, and the bending connection line is formed on the first inorganic layer and the second inorganic layer is formed on the first inorganic layer and the bending connection line, wherein the first link line is connected to the first end of the bending connection line via the first contact hole, and wherein the second link line is connected to the second end of the bending connection line via the second contact hole, wherein the bending connection line is disposed on a neutral plane where a compressive stress and a tensile stress are counterbalanced when the bending area is bent. a substrate including a display area arranged to display images and a non-display area, the non-display area including a bending area where the flexible display device is capable of being bent; a link line including a first link line and a second link line in the non-display area; a first buffer layer on the substrate in the bending area; a bending connection line on the first buffer layer, wherein the bending connection line is connected in the bending area with the link line; a second buffer layer on the bending connection line in the bending area, wherein the first buffer layer and the second buffer layer are formed of the same material and with the same thickness; a first contact hole through the second buffer layer in the bending area; and a second contact hole through the second buffer layer in the bending area; an inorganic layer that surrounds the bending connection line, wherein the inorganic layer is between the first buffer layer and the second buffer layer in the bending area of the substrate, the first buffer layer is directly under the inorganic layer and the second buffer layer is directly on the inorganic layer, wherein the inorganic layer comprises a first inorganic layer and a second inorganic layer, and the bending connection line is formed on the first inorganic layer and the second inorganic layer is formed on the first inorganic layer and the bending connection line, wherein the first link line is connected to the first end of the bending connection line via the first contact hole, and wherein the second link line is connected to the second end of the bending connection line via the second contact hole, wherein the bending connection line is disposed on a neutral plane where a compressive stress and a tensile stress are counterbalanced when the bending area is bent.