The invention discloses a damping support special for a light rail bridge. The damping support comprises a support core body, an upper connecting steel plate and a lower connecting steel plate, wherein the width of the upper connecting steel plate in the lateral direction is larger than the width of lower connecting steel; shearing devices are arranged on projecting positions on both sides of the upper connecting steel plate; each shearing device consists of n fixing plates and (n-1) shearing plates; the (n-1) shearing plates are arranged alternatively among the n fixing plates through shearing pins; the fixing plates are connected below the upper connecting steel plate through screws; the gap d between the vertical surface of a shearing plate of a shearing unit and the outer end face of the lower connecting steel plate is 1 millimeter; the horizontal height of the lower end of each shearing plate is smaller than that of the upper surface of the lower connecting steel plate, or smaller than that of the upper surface of an assistant steel plate bar connected with the lower connecting steel plate. According to the damping support special for the light rail bridge, the horizontal rigidity of the support can be improved, and the aim of protecting the safety of the bridge is achieved; the shearing device is simple in structure, is convenient to install, and is economic and practical; when being sheared under stress, the shearing pins are prevented from being interfered with a support cushion.