A vibration damping device including: a pressure-receiving chamber and an equilibrium chamber connected by a first orifice passage; a movable member disposed within the pressure-receiving chamber, to form a primary fluid chamber partly defined by a rubber elastic body, and an auxiliary fluid chamber partly defined by an oscillating plate; and a second orifice passage connecting the auxiliary fluid chamber to the equilibrium chamber. A through-hole is formed in a partition member that partitions the primary fluid chamber and the auxiliary fluid chamber, the oscillating plate is housed within the through-hole with a gap provided therebetween whereby the oscillating plate is displaceable in an axial direction within the through-hole. A stopper abutted by the oscillating plate during displacement to one axial side is provided, with the gap becoming closed off when the oscillating plate is in a state of abutment against the stopper.