In order to improve the curve passing performance of HTS (high-temperature superconducting) maglev vehicle, aiming at the nonlinear characteristics of suspension system and high-temperature superconducting levitation and guidance force, the dynamic model of HTS maglev vehicle which coupled lateral and vertical was established. The curve passing performance of suspension frame of HTS maglev vehicle was analyzed, and the lateral and vertical displacement of dewar were compared when the vehicle passed through the curve with or without superelevation. The simulation results show that the original H-frame is difficult to adapt to the line distortion of the transition curve section because there is no primary suspension when the vehicle passeing through the curve with superelevation, which makes some of the vertical displacement of dewar larger. Therefore, the optimization measures were carried out for the design scheme of suspension frame, and the analysis of the optimization scheme was given. The results show that adding rubber pad can increase the nodding freedom between longitudinal and horizontal beam of H-frame. Furthermore, adding primary suspension between dewar and H-frame can improve the curve passing ability of vehicles. In addition, the effect of adding primary suspension is better. A suspension frame structure scheme which is beneficial to the curve passing of HTS maglev vehicle is carried out combining the two optimization schemes.