In order to avoid the abnormal vibration behavior of the high temperature superconducting flux pinned maglev train at high velocity (about 500 km/h to 600 km/h) due to the external interference from the suspension frame system, the vibration characteristics of suspension frame system under track irregularity harmonic excitation are studied. Firstly, the levitation force between the high temperature superconductor combination and the permanent magnet guideway (PMG) is measured by way of the quasi-static test platform, and the empirical formula of levitation force is obtained. Then, the nonlinear vibration differential equation of the suspension frame system under the track irregularity harmonic excitation is established. The first approximate solution is obtained based on the multi-scale method, which is verified by way of the numerical solution. Finally, the amplitude-frequency response equation of the suspension frame system under the primary resonance is derived, thus the influence of running velocity, track irregularity wavelength and amplitude on the steady-state amplitude is studied. An analytical method for determining the feasible domain of track irregularity parameters under different running velocity is proposed based on the safety standard of maglev train. The effective domain of track irregularity parameters can be obtained. The methodology and results of this manuscript provide a theoretical foundation for designing PMG for high temperature superconducting flux pinned maglev train.