A dynamic damper mounted on a rod-shaped oscillating member is disclosed which includes: a cylindrical metallic mass member formed of sintered metal or forging and disposed radially outwardly of the oscillating member; two elastic support members formed on axially opposite sides of the metallic mass member to elastically support the metallic mass member; and an elastic covering layer integrally formed with the elastic support member and fixed in close contact with the substantially entire area of the surface of the metallic mass member. The metallic mass member has bevels in the form of tapered cylindrical surfaces formed at radially inner edges of axially opposite end faces of said metallic mass member, respectively. Each of the bevels extends over a corresponding one of the axially opposite end faces and an inner circumferential surface of the metallic mass member to thereby chamfer the corresponding one of the radially inner edges. The pair of elastic support members are fixed at large diameter end portions thereof to the bevels, respectively.