The present invention discloses a coupling beam eddy current damper with shear displacement amplification. The coupling beam eddy current damper with shear displacement amplification comprises a rigid rod, rotating shafts, a pin column, pins, levers, screws, thread sleeves, copper sheets, permanent magnet components, a steel structural component, balls, ball supports and an outer shell. When vibration occurs, coupling beams on both sides of the damper are relatively vertically displaced; at this moment, two levers move up and down relative to the rigid rod; the movement causes the screws and the copper sheets to rotate; the copper sheets rotate in a magnetic field, then induced electromotive force will generates inside the magnetic field, thereby generating eddy current in the copper sheets. The eddy current effect will produce a damping force that impedes the rotation of the copper sheets.