Micropolarizer array (MPA) is the core component of division of focal plane polarimeter (DoFP). Compared with nano-wire-grid polarizer array, liquid crystal micropolarizer (LCMP) array has some unique advantages such as flexible design, simple process, good stability and show great potential to achieve not only cost-effective but also high precision polarization measurement and imaging. In this paper, we summarize the researches on LCMP array domestic and oversea in recent years. Here, three working principle of LCMP arrays: guest-host effect, polarization rotation and phase retardation as well as their structure are systematically elaborated. Different alignment structures of LCMP can achieve not only linear but full Stokes polarimetry. Finally, future development trends and key challenges of liquid crystal micropolarizer arrays and DoFP imaging technology are discussed.