The invention provides an eddy current three-dimensional damping device. The damping device comprises a box body, a connecting screw hole A, a rotary shaft, a torsion spring, an outer layer sphere, amiddle layer sphere, an inner layer sphere, an additional mass block A, an additional mass block B, a connecting screw hole B, an inner layer sphere fan blade, an inner layer sphere base, a middle layer sphere fan blade, a middle layer sphere fan blade, an outer layer sphere fan blade, and an outer layer sphere base. Firstly when the structure vibrates, a TMD damper composed of the additional massblocks, the torsion spring and all the spheres conducts energy transferring to reduce structural vibration; and secondly, in the work process of the TMD damper, energy is dissipated through eddy current damp generated by relative movement of a conductor and a permanent magnet. According to the eddy current three-dimensional damping device, through nesting of the spheres, three-dimensional movement of the additional mass blocks is achieved; through arrangement of different spherical materials and by utilizing the eddy current damp, the energy is dissipated, and multi-dimensional damping is achieved; and by adjusting the rigidity of the torsion spring and the mass of the additional mass blocks, the used frequency range of the damping device can be adjusted.