The invention discloses a bridge mechanism with shock absorption and energy dissipation and an installation method thereof. Main points of design are that: a first radial pole of a reciprocating friction and energy dissipation unit is perpendicular to a first driving pole of the reciprocating friction and energy dissipation unit, and the first driving pole is disposed at an end portion of the first radial pole away from a central rotating shaft; a first driving plate is provided with a strip-type groove, and the first driving plate is provided in parallel with a platform plate in the directionin which the central rotating shaft extends axially; the first driving pole is inserted into the strip-type groove of the first driving plate; and the platform plate and an end portion plate are parallel to each other, a first friction plate is vertically disposed on the surface of the platform plate orienting to the end portion plate, a second friction plate is vertically disposed on the surfaceof the end portion plate orienting to the platform plate, a high-strength bolt is utilized to tension between the first friction plate and the second friction plate, and the second friction plate isprovided with a bolt hole groove parallel to the direction of a clamping joint groove. The invention aims to provide the bridge mechanism with the shock absorption and the energy dissipation and the installation method thereof, so as to solve the problem of the shock absorption and the energy dissipation of bridges.