A fluid-filled vibration damping device including a movable film housed within a housing space of a partition partitioning a pressure receiving chamber and an equilibrium chamber. An outer peripheral end of the movable film includes a contact part and a sealing part being respectively in contact with a pressure receiving chamber-side wall inner surface and an equilibrium chamber-side wall inner surface of the housing space. A communication passage, which communicates with a gap circumferentially between the movable film and the housing space, is provided away from the contact part in the outer peripheral end of the movable film. The outer peripheral end of the movable film will be separated from the equilibrium chamber-side wall inner surface due to a pressure differential arising between the two chambers so as to form a relief passage interconnecting the two chambers including the gap and the communication passage.