Evaluation parameter of magnetic damping characteristics is needed for the mechanical design of structures located in a high magnetic field. In this paper, the coupling intensity parameter is proposed as an evaluation parameter of the vibration with magnetic damping. To verify that the magnetic damping characteristics are represented by the coupling intensity parameter, experiments and numerical analyses were performed. The conditions were obtained to keep the two parameters unchanged, namely the coupling intensity parameter and the time constant ratio of the eddy current and structure, using the dependence of the coupling intensity parameter. Since the damping charac- teristics of these cases agree very well, it is confirmed that the coupling intensity parameter and the time constant ratio are the evaluation parameters of the vibration with magnetic damping.