The vibration-damping device includes a tubular first attachment member; a second attachment member; an elastic body that couples the first attachment member and the second attachment member to each other; and a partition member that partitions a liquid chamber within the first attachment member into a main liquid chamber having the elastic body in a portion of a barrier wall thereof, and an auxiliary liquid chamber. The partition member includes a membrane; a first orifice passage that includes a main liquid chamber-side passage, and an opposite liquid chamber-side passage; and a damping force difference increasing part that restrains any one of swelling deformation of the membrane toward the main liquid chamber side and swelling deformation of the membrane toward the opposite liquid chamber and increases a difference between a damping force generated when a bound load is input and a damping force generated when a rebound load is input.