A high-energy-consumption double-curved-surface seismic mitigation and absorption support comprises an upper seatplate, a guide friction pair, a middle seatplate, a spherical friction pair, concentric-square-shaped steel dampers, a lower seatplate and a limiting device. The bottom surface of the upper seat plate is a concave spherical surface, the top surface of the lower seat plate is a concave spherical surface, the upper surface and the lower surface of the middle seat plate are convex spherical surfaces matched with the concave spherical surface, and the upper seat plate, the middle seat plate and the lower seat plate form a rotating mechanism of the support;limiting devices for limiting the upper seatplate are arranged on the four sides of the lower seatplate respectively. The singleside, the two sides or the periphery of the support are each provided with theconcentric-square-shaped steel damper, each concentric-square-shaped steel damper is in the concentric-squareshape; an opening is formed in one side of each concentric-square-shaped steel damper, a dislocation height difference exists at each opening, the lower free end of each opening is connected with the lower seatplate, and the higher free end of each opening is connected with the upper seatplate. The high-energy-consumption double-curved-surface seismic mitigation and absorption support has various advantages ofa double-curved-surface seismic mitigation and absorption support, has high energy dissipation capacity, can meet various seismic requirements during bridge construction, and is particularly suitablefor high-intensity and long-period seismic areas.