The invention belongs to the technical field of motors, and discloses a damping ring assembly and a motor having the same. The damping ring assembly comprises an upper rubber ring and a lower rubber ring, wherein the upper rubber ring and the lower rubber ring each comprises a central hole, an upper surface, a lower surface and an outer surface; the central holes of the upper rubber ring and the lower rubber ring are coaxially arranged and have the same size, and the outer surfaces of the upper rubber ring and the lower rubber ring are respectively provided with corresponding angle matching marks; the lower surface of the upper rubber ring and the upper surface of the lower rubber ring are respectively provided with uniformly distributed protrusions and grooves which can cooperate with each other. The damping ring assembly further comprises one or more rubber rings, and the rubber rings are provided with mounting holes matched with the protrusions. By use of the damping ring assembly,the mounting angle can be arbitrarily changed without reducing the production efficiency; the number of rubber rings is adjusted, the axial length can be arbitrarily adjusted, the production cost is reduced and the production efficiency is improved; and the upper and lower ruber rings of different hardness can be used to cooperate to enhance the damping effect.