The invention discloses a polymer stabilizing liquid crystal lens, a preparation method thereof and a display device and belongs to the field of display. The polymer stabilizing liquid crystal lens comprises a first substrate, a first electrode, a liquid crystal layer, a second electrode and a second substrate, wherein the first electrode is arranged on the first substrate, the second electrode is arranged on the second substrate, the liquid crystal layer is arranged between the first electrode and the second electrode, the first electrode comprises a plurality of electrode units, a periodical electric field is formed by the electrode units and the second electrode, the voltage value of the periodical electric field changes periodically, the liquid crystal layer comprises polymers and liquid crystal molecules, deflection happens to the liquid crystal molecules under the action of the periodical electric field before the polymers are stabilized, and the deflection angle is maintained after the polymers are stabilized. The polymer stabilizing liquid crystal lens has the advantages that distortion of the liquid crystal molecules is avoided and the light transmissivity is high.