Anycast uses BGP to achieve the best path selection by assigning the same IP address to multiple terminal nodes. In recent years, as anycast technology has become more and more common, it has been widely used in DNS and CDN services. This paper fisrtly introduces anycast technology in an all-round way and then discuss current problems of anycast technology and summarizes these problems into three categories:anycast inference is imperfect, anycast performance cannot be guaranteed, and it is difficult to control anycast load balancing. In response to these problems, the latest research progress is described. Finally, we summarize the problems in solving anycast problems and the direction of improvement and provides useful references for researchers in related fields.