In this paper, the development status of space high-precision Carbon Fiber Reinforced Plastics(CFRP) antenna reflector is given, fundamental problems of high-precision reflector such as material selection, structural design, thermal stability analysis and curing are summarized, and the research progress is primarily discussed focused on the fields of materials, space structure, thermal deformation and process. Moreover, some scientific problems about the high-precision reflector need to be further studied and prospected in aerospace engineering fields.