A fluid filled type vibration damping device including: an obstructing rubber elastic plate disposed so as to obstruct a communication aperture that connects a pressure receiving chamber and an equilibrium chamber; contact retaining portions arranged on an outer peripheral edge of the rubber plate and held in contact against a partition member; an elastic deformation zone arranged circumferentially between the contact retaining portions of the rubber plate so as to undergo elastic deformation on a basis of pressure differential between the pressure receiving chamber and the equilibrium chamber to be spaced away from the partition member to cause the aperture to open up; and a non-linearizing member provided such that the elastic characteristics of the elastic deformation zone become more rigid in a non-linear manner in association with increase in an amount of its deformation.