A vibration damping device including a first and a second mounting member connected together by an elastic body, comprising a rebound abutting portion of flange shape integrally formed on the first mounting member; a tubular bracket fastened about the second mounting member; a stopper abutting portion formed at the tubular bracket; and a cushioning rubber disposed on the rebound abutting portion to constitute a rebound stopper mechanism for limiting relative displacement in an axially away direction between the first and second mounting members, wherein a first rotation preventing mechanism for preventing rotation of the first mounting member about a center axis of the tubular bracket by means of abutting contact of a pair of first abutting faces formed on the cushioning rubber against a pair of first abutted faces formed on a mating tube portion of the tubular bracket.