A method is described to analyze coupling behavior between structural vibration and eddy currents for a magnetically levirated (MAGLEV) superconducting magnet. The coupling terms between vibration and eddy currents are introduced from the potential energy due to Lorentz forces and the electric energy due to motional electromotive forces. The basic equations are discretized using the finite element method so that the matrix representing the Loreritz forces becomes equal to the transposed matrix representing the motionaI electromotive forces. The reliability of this analysis method is verified by calculating the dynamic behavior of a copper cantilevered beam in magnetic fields. We analyze the complicated coupling behavior in a MAGLEV superconducting magnet. The heat generation characteristics due to induced eddy currents by vibration are discussed through calculations varying parameters concerning the stiffnesses and the materials of the SCM structures.