A damper opening and closing angle varying mechanism of a hinge comprises a blocking element, a connection element and a lever element which are in hinge fit with one another. A damper is arranged between the blocking element and the connection element. One end of the damper is rotationally arranged on the blocking element, and the other end of the damper abuts against the connection element. The connection element, the lever element and the damper are linked with one other relative to the blocking element when the hinge is opened or closed. When the hinge is closed by at least one certain angle, the lever element acts on the damper and drives the damper to slide on the connection element in a limited mode, the damper is compressed and generates damping force, and thus, damped closing of the hinge is achieved. Through the structure improvement, the damper opening and closing angle varying mechanism of the hinge has the characteristics that the structure is simple and reasonable, safety and reliability are achieved, production and implementation are easy, adjustment is fast, operation is convenient, the service life is long, practicability is high, and the opening and closing process is labor-saving, smooth, small in collision and low in noise.