In order to promote the engineering application of high-temperature superconducting (HTS) magnetic levitation (maglev) train and study the design requirements of the vehicle bogie in practical application. This paper investigates the dynamic response of two kinds of secondary suspension structures under the same speed and line conditions. Two air spring mounted schemes are firstly proposed, in the middle and in the end of the bogie frame. Secondly, the dynamic model is constructed and calculated in dynamic simulation software combined with the levitation-guidance force mathematical model extracted by the experiment. The simulation results show that under the same conditions, both schemes meet the requirements of relevant dynamic standards. The vertical stability of the end-mounted scheme of air spring is better in high-speed operation, while the curve passing ability of the air spring mid-mounted scheme is better. At the same time, these conclusions are also partially confirmed by the experimental test of the high-speed HTS maglev engineering prototype vehicle and test line. This work will help to better understand the design requirements of HTS maglev train, and have guidance significance for the future system engineering of HTS maglev.