Liquid crystal optical phased array has been widely investigated by researchers because of its small size, simple structure, easy integration, low power consumption, and ability to automatically acquire, point, and track, meeting the requirements of future space communication and military development. This study introduces the research progress of the precise deflection of liquid crystal optical phased array beams worldwide based on the performance indicator perspective and summarizes the methods for improving performance. Furthermore, it introduces the research progress of liquid crystal optical phased array in multiple access communication and high-power laser phased-system. Finally, this study can provide a reference for the future development of liquid crystal optical phased array.