The invention discloses a swinging eddy current tuned mass damper. The swinging eddy current tuned mass damper comprises a supporting bracket, a mass block hung on the supporting bracket through swinging ropes, a damping system, horizontal universal supporting systems, vertical guiding systems, a floating plate and a fixing plate, wherein the fixing plate is mounted between the two groups of swinging ropes above the mass block in the horizontal direction; the two ends of the fixing plate are connected with the supporting bracket; the floating plate is parallelly mounted between the fixing plate and the mass block; the floating plate is supported above the mass block through the horizontal universal supporting systems, and is connected with the fixing plate above the floating plate through the vertical guiding systems; the damping system is relatively mounted between the mass block and the floating plate, and comprises a permanent magnet and a conductor plate; and a clearance is arranged between the permanent magnet and the conductor plate. The swinging eddy current tuned mass damper is convenient to operate and utilize, reliable in operation, good in economy, low in frictional damping ratio, balanced and stable in damping ratio, and high in vibration reduction sensitivity, is not influenced by change of swinging amplitude of the mass block, and is applicable to horizontal vibration reduction of structures.