A liquid crystal phase shifter, a liquid crystal antenna, a communication apparatus, and a method for operating a liquid crystal phase shifter are provided. The liquid crystal phase shifter includes a microwave transmission structure and a phase adjustment structure opposite to each other, and a liquid crystal layer between the microwave transmission structure and the phase adjustment structure; wherein the phase adjustment structure comprises a plurality of phase adjustment units; the plurality of phase adjustment units are configured to change a dielectric constant of the liquid crystal layer according to a voltage applied to the phase adjustment units and a voltage applied to the microwave transmission structure, so as to adjust a phase of a microwave signal; and phase shift amounts adjusted by the plurality of phase adjustment units are different from each other.