The suspension characteristics of maglev train are studied in this paper when it is running on different curves. The suspension gap variation when maglev train is running on three different curves are presented. And the limitation to the vertical semi-diameter of the curve at the point where the grade of the longitudinal section of the track changes is also calculated. In addition, simulation is carried out for the changes of the suspension gap when maglev train is running on the curve and different suspension control figures are compared with each other. Finally, a preliminary suggestion is put forward regarding to further development of this system.