A liquid crystal lens, a manufacturing method and a corresponding curved display device are disclosed. The liquid crystal lens is configured to be adhered over a flat display device for achieving curved display, and includes liquid crystals, a first electrode and a second electrode for driving the liquid crystals, and an elevation layer. The first electrode includes a plurality of independent electrodes separate from each other, each independent electrode being arranged on the elevation layer. The elevation layer is further configured such that each independent electrode is located in a different position along a thickness direction of the elevation layer.