The invention provides a curved-surface stacked-steel-plate self-restoration friction damping support. The support comprises an upper base, a lower base and curved-surface plates located between the upper base and the lower base, wherein the at least two curved-surface plates are arranged in a vertically-stacked mode, the curved-surface plate located at the bottommost end is arranged on the lower base, and the curved-surface plate located at the uppermost end makes contact with the upper base and is used for supporting the upper base. The support has the advantages that due to the fact that the curved-surface plates are arranged in a stacked mode, a curved-surface friction pair is formed between every two adjacent curved-surface plates, the curved-surface plate located at the uppermost end and the upper base can form a second friction pair, the curved-surface plate located at the bottommost end and the lower base can form a third friction pair, vehicle impact and seismic energy are consumed through mutual friction between the curved-surface plates arranged in the stacked mode, self-restoration is achieved through the self-restoration capacity of the curved-surface plates, the structural mode is simple, the force transfer mechanism is clear, cost is low, the damping effect is stable, durability is good, and particularly, the damping effect on supports greatly influenced by vehicle impacting loads is remarkable.