The invention relates to an anti-shedding device of a stay cable shock absorber, and belongs to the technical field of stay cables. The anti-shedding device sleeves a cable body and includes a baffleand a bracket, friction assemblies are fixedly arranged on the two ends of the bracket respectively, a connecting pipe is arranged between the bracket and the baffle, the bracket is fixedly connectedwith the connecting pipe through the friction assemblies, the baffle is fixedly connected with the connecting pipe through welding, and a rubber strip is fixed to the outer side of the baffle; the friction assemblies include rubber washers, front pressing plates and rear pressing plates are arranged on the two sides of the rubber washers respectively, the front pressing plates, the rear pressing plates and the rubber washers are fixedly connected through bolts; and in the front friction assembly, the front pressing plate is fixedly connected with the connecting pipe, the rear pressing plate isfixedly connected with one end of the bracket, in the rear friction assembly, the front pressing plate is fixedly connected with the other side of the bracket. According to the anti-shedding device of the stay cable shock absorber, a climbing vehicle is used for pushing the device to the tower end, mounting is easy, the shock absorbers is prevented from shedding, safety of working at the height is improved, and labor intensity of construction workers is reduced.