The damping characteristics of eddy-current damping of a diamagnetically stabilized levitation structure were studied. A mathematical model for solving eddy-current damping and damping coefficient was established. With the help of MATLAB and COMSOL 5.6, the characteristics of eddy-current damping and the influence of external excitation frequency, amplitude, thickness of floating magnet and thickness of conductor plate on eddy-current damping were studied by three-dimensional electromagnetic field finite element simulation analysis method. The results show that the eddy-current damping can be increased by increasing the radius and thickness of the magnet, increasing the side length and thickness of the magnet and reducing the levitation gap. In addition, increasing the amplitude and frequency of the external excitation can also increase the eddy-current damping, but the eddy-current damping will show phase lag when the excitation frequency is increased. The results have certain reference significance for analyzing the vibration characteristics of the anti-magnetic levitation structure.