The invention discloses a stay cable external damping and vibration reduction device, including stay cables, cable hoops, bolt connectors, dampers, upper brackets, pipe hoops, support frames, diagonal bracing pipes, top surfaces of box girders, stay cables PE The outer protective tube is fixedly sleeved with a cable hoop through a bolt connection. Two single clevises are arranged on the side of the hoop close to the damper. It is connected with the double clevis at the end of the upper bracket, and the two dampers are symmetrically distributed to form an isosceles triangle with the upper bracket, and the damper is perpendicular to the center line of the stay cable; the middle part of the upper bracket passes through the bolt connection of the pipe collar In the flexible sleeve pipe hoop, the pipe hoop is welded to the top of the support frame, and the diagonal bracing pipe is fixedly connected to the upper part of the support frame through a pin; form a triangular support structure. Stay cables with simple structure, convenient installation, and adaptable to all angles.