The invention discloses an eddy current axial damper. The eddy current axial damper comprises a screw, a nut, a fixed drum, an inner rotating drum and an outer rotating drum. The fixed drum sleeves the outer side of the screw. The inner rotating drum is connected with the nut and arranged between the screw and the fixed drum in a sleeving mode. Magnets are arranged on the periphery of the inner rotating drum, and a conductor pipe is arranged on the inner wall of the fixed drum. The outer rotating drum is connected with the nut and sleeves the outer side of the fixed drum. A conductor pipe is arranged on the inner wall of the outer rotating drum, and magnets are arranged on the periphery of the fixed drum. According to the eddy current axial damper, two sets of module connection are formedbetween the inner rotating drum and the fixed drum and between the outer rotating drum and the fixed drum, the sizes are not mutually affected, the parts can be independently designed, and modularizedproduction and combination are achieved. By means of multiple combination modes such as inner and outer rotation, inner rotation and outer rotation, the requirements for the damper size limitation, the damping force inertia force change mode and the heat dissipation efficiency are met. The structure comprises a movement conversion mechanism and an eddy current damping generator. The eddy currentdamping generator is free of the frictional loss, after the service life of the damper ends, only the movement conversion mechanism needs to be replaced, the eddy current damping generator can continue to be used, and therefore the life cycle cost is reduced.