Micromagnetic simulation is employed to study the gyration motion of magnetic vortices in distinct permalloy nanodisks driven by a spin-polarized current.The critical current density for magnetic vortex gyration,eigenfrequency,trajec-tory,velocity and the time for a magnetic vortex to obtain the steady gyration are analyzed.Simulation results reveal that the magnetic vortices in larger and thinner nanodisks can achieve a lower-frequency gyration at a lower current density ina shorter time.However,the magnetic vortices in thicker nanodisks need a higher current density and longer time to attain steady gyration but with a higher eigenfrequency.We also find that the point-contact position exerts different influences on these parameters in different nanodisks,which contributes to the control of the magnetic vortex gyration.The conclusions of this paper can serve as a theoretical basis for designing nano-oscillators and microwave frequency modulators.