It is crucial to calculate the levitation force in the designation of superconducting magnetic bearing (SMB). Due to the external disturbances or the time-variable load, it is necessary to study the dynamic levitation behavior in order to ensure the stable levitation of SMB. In this paper, we investigate the dynamic behaviors of the axial levitation force for the radial-type SMB. By adopting the Power-law E-J relation of the superconductor, the simplified H-formulation finite element model of the radial-type SMB is established to calculate the axial levitation force in the PDE module of software COMSOL. The experimental measurements of the levitation force are carried out in both the field cooling and zero-field cooling condition so as to validate the model. Then, the dynamic model is built with the aid of ODE module, which can describe the dynamic response of the PM rotor along the z-axis easily. The dynamic behaviors of the radial-type SMB are discussed when the PM rotor suffer from the external disturbances including the axial constant load with different initial velocity and the sinusoidal time-variable load. The study is useful to predict the influences of the external disturbances on the dynamic levitation behaviors in the practical applications of the radial-type SMB.