A vibration-damping device comprising: a first attachment member having a cylindrical shape connected to any one of a vibration generating unit and a vibration receiving unit, and a second attachment member connected to the other unit; an elastic body configured to connect both of the attachment members (11, 12); and a partition member configured to divide a liquid chamber in the first attachment member, in which liquid is sealed, into a main liquid chamber having a wall surface formed partly from the elastic body, and a subsidiary liquid chamber, wherein, in the partition member, an accommodating chamber in communication with the main liquid chamber and the subsidiary liquid chamber through communication holes (46A, 46B) opened in an axial direction of the first attachment member, and an elastically deformable membrane, which is made of rubber, accommodated in the accommodating chamber and separately exposed to the main liquid chamber and the subsidiary liquid chamber through the communication holes (46A, 46B) are installed, and characterized in that at the partition member, a plurality of restriction sections (51A, 51B) configured to suppress excessive deformation of the membrane, disposed more outside in the axial direction than the communication holes (46A, 46B), and overlapping the membrane in the axial direction through the communication holes (46A, 46B) are installed to correspond to all of the communication holes (46A, 46B), and the restriction sections (51A, 51B) straddle over the communication holes (51A, 51B) in a radial direction of the first attachment member, both of end sections in the radial direction of the restriction sections are separately connected to a lid member, the restriction sections and inter-hole portions of the partition member are alternately disposed in circumferential direction of the first attachment member, and a surface of each restriction section directed inward in the axial direction has an area larger than that of each inter-hole portion directed inward in the axial direction. a first attachment member having a cylindrical shape connected to any one of a vibration generating unit and a vibration receiving unit, and a second attachment member connected to the other unit; an elastic body configured to connect both of the attachment members (11, 12); and a partition member configured to divide a liquid chamber in the first attachment member, in which liquid is sealed, into a main liquid chamber having a wall surface formed partly from the elastic body, and a subsidiary liquid chamber, wherein, in the partition member, an accommodating chamber in communication with the main liquid chamber and the subsidiary liquid chamber through communication holes (46A, 46B) opened in an axial direction of the first attachment member, and an elastically deformable membrane, which is made of rubber, accommodated in the accommodating chamber and separately exposed to the main liquid chamber and the subsidiary liquid chamber through the communication holes (46A, 46B) are installed, and characterized in that at the partition member, a plurality of restriction sections (51A, 51B) configured to suppress excessive deformation of the membrane, disposed more outside in the axial direction than the communication holes (46A, 46B), and overlapping the membrane in the axial direction through the communication holes (46A, 46B) are installed to correspond to all of the communication holes (46A, 46B), and the restriction sections (51A, 51B) straddle over the communication holes (51A, 51B) in a radial direction of the first attachment member, both of end sections in the radial direction of the restriction sections are separately connected to a lid member, the restriction sections and inter-hole portions of the partition member are alternately disposed in circumferential direction of the first attachment member, and a surface of each restriction section directed inward in the axial direction has an area larger than that of each inter-hole portion directed inward in the axial direction.