The invention provides a suspension bridge rock mass and reinforced concrete plate composited type anchorage and a construction method thereof. The construction method comprises the steps that 1, the composited type anchorage is located on one side or the two sides of a suspension bridge, a front anchor chamber is excavated on the side slope side of a mountain, a worker enters the mountain through a construction hole with a small cross section to excavate a back anchor chamber, and rock masses between the front anchor chamber and the back anchor chamber are reserved to replace a reinforced concrete anchor plug; 2, hole sites are quincuncially arranged in the front anchor surface and the back anchor surface, and anchor cable holes are drilled from the front anchor surface to the back anchor chamber; 3, a reinforced concrete anchor plate is poured in the back anchor chamber, and anchor holes are reserved; 4, anchor cables penetrate through the reserved rock masses and the reinforced concrete anchor plate to the back anchor chamber through the anchor cable holes from the front anchor chamber and are anchored; and 5, a main cable is connected with the anchor cables through a cable splaying saddle. According to the suspension bridge rock mass and reinforced concrete plate composited type anchorage and the construction method thereof, the resistance of the rock masses is made full use of, excavation of large-size earth rock is avoided, construction of large-size concrete is reduced, the influence on the bridge area ecological environment is small, the construction cost of the composited type anchorage is significantly reduced compared with a tunnel type anchorage, and economic benefits are great.