A liquid crystal lens and a manufacturing method thereof, and a display device are provided. The liquid crystal lens includes: an upper substrate, a lower substrate, a liquid crystal layer arranged between the upper substrate and the lower substrate; at least one first electrode arranged at a side, close to the liquid crystal layer, of the upper substrate; and at least one second electrode and at least one third electrode which are arranged at a side, close to the liquid crystal layer, of the lower substrate. The liquid crystal layer includes a first region over the second electrode and a second region over the third electrode. Liquid crystals in both the first region and the second region have a tilted angle, and alignment directions of the liquid crystals in the first region and the second region are opposite to each other.