In the field of rail transit today，maglev trains are no longer limited by the traditional wheel-rail con- tact mode of travel，which uses electromagnetic force to overcome gravity and escapes from the ground. By way of maglev technology in railway transportation，the maglev train，as the most advanced mode of transportation，has undoubtedly become an important scientific and technological object on which all countries are competing for research. In order to improve driving safety and ride comfort，scholars at home and abroad have carried out a lot of researches on the dynamic problems related to maglev trains，and have obtained important results in theoreti- cal analysis，numerical simulation and so on. This paper reviews the existing achievements in dynamic modeling， dynamic characteristics and suspension control of maglev train，and then puts forward some suggestions and prospects for further research.