A vibration-damping device (10, 30) comprising: a first mounting member having a tubular shape and connected to one of a vibration generator and a vibration absorber, and a second mounting member connected to the other of the vibration generator and the vibration absorber; an elastic body configured to connect the first and second mounting members; a partition member configured to partition a liquid chamber within which a liquid is enclosed and which is disposed within the first mounting member into a primary liquid chamber using the elastic body as a part of a wall surface thereof and a secondary liquid chamber; and a movable member housed in a housing chamber provided within the partition member, the movable member being free to be deformed or displaced in an axial direction of the first mounting member; wherein the partition member is provided with a plurality of communicating holes that extend from a portion of the partition member which is exposed to the primary liquid chamber or the secondary liquid chamber toward the housing chamber in the axial direction and are open toward the movable member, the partition member is equipped with partition plate parts (18, 19) of which front and back surfaces are directed in the axial direction, the partition plate parts (18, 19) dividing the housing chamber from the primary liquid chamber or from the secondary liquid chamber in the axial direction, the communicating holes include communicating pores that pass through the partition plate parts (18, 19) in the axial direction, and wherein a minimum inner diameter of the communicating pore is a shortest transverse distance of the communicating pore on a straight line perpendicular to the axial direction, and each communicating pore is formed in a tapered shape extending in the axial direction, characterized in that the minimum inner diameter of each communicating pore is 3.6 mm or less. a first mounting member having a tubular shape and connected to one of a vibration generator and a vibration absorber, and a second mounting member connected to the other of the vibration generator and the vibration absorber; an elastic body configured to connect the first and second mounting members; a partition member configured to partition a liquid chamber within which a liquid is enclosed and which is disposed within the first mounting member into a primary liquid chamber using the elastic body as a part of a wall surface thereof and a secondary liquid chamber; and a movable member housed in a housing chamber provided within the partition member, the movable member being free to be deformed or displaced in an axial direction of the first mounting member; wherein the partition member is provided with a plurality of communicating holes that extend from a portion of the partition member which is exposed to the primary liquid chamber or the secondary liquid chamber toward the housing chamber in the axial direction and are open toward the movable member, the partition member is equipped with partition plate parts (18, 19) of which front and back surfaces are directed in the axial direction, the partition plate parts (18, 19) dividing the housing chamber from the primary liquid chamber or from the secondary liquid chamber in the axial direction, the communicating holes include communicating pores that pass through the partition plate parts (18, 19) in the axial direction, and wherein a minimum inner diameter of the communicating pore is a shortest transverse distance of the communicating pore on a straight line perpendicular to the axial direction, and each communicating pore is formed in a tapered shape extending in the axial direction, characterized in that the minimum inner diameter of each communicating pore is 3.6 mm or less.