A vibration damping device (1, 2), comprising: an external member attached to one of a vibration-generating portion and a vibration-receiving portion; a tubular member attached to the other of the vibration-generating portion and the vibration-receiving portion; and an elastic body which connects the external member and the tubular member, wherein the external member includes a frame-like member (11, 21) having a rectangular shape when viewed from a top, the elastic body is formed in a rectangular parallelepiped shape having a rectangular shape when viewed from the top, the tubular member is disposed inside the frame-like member (11, 21) when viewed from the top, and a central axis of the tubular member extends in a short-side direction in which a short-side portion (13, 23) of the frame-like member (11, 21) forming a short side of the rectangular shape when viewed from the top extends, characterized in that in the frame-like member (11, 21), a lower end edge of a long-side portion forming a long side of the rectangular shape when viewed from the top is located on an inner side than an upper end edge of the long-side portion in the short-side direction, and in the elastic body, a long-side portion forming a long side of the rectangular shape when viewed from the top adheres to an inner circumferential surface of the long-side portion of the frame-like member (11, 21), and a short-side portion 9308126-1 (13, 23) forming a short side of the rectangular shape when viewed from the top comes into contact with the external member in a long-side direction in which the long-side portion extends when viewed from the top, in a non-adhering state. an external member attached to one of a vibration-generating portion and a vibration-receiving portion; a tubular member attached to the other of the vibration-generating portion and the vibration-receiving portion; and an elastic body which connects the external member and the tubular member, wherein the external member includes a frame-like member (11, 21) having a rectangular shape when viewed from a top, the elastic body is formed in a rectangular parallelepiped shape having a rectangular shape when viewed from the top, the tubular member is disposed inside the frame-like member (11, 21) when viewed from the top, and a central axis of the tubular member extends in a short-side direction in which a short-side portion (13, 23) of the frame-like member (11, 21) forming a short side of the rectangular shape when viewed from the top extends, characterized in that in the frame-like member (11, 21), a lower end edge of a long-side portion forming a long side of the rectangular shape when viewed from the top is located on an inner side than an upper end edge of the long-side portion in the short-side direction, and in the elastic body, a long-side portion forming a long side of the rectangular shape when viewed from the top adheres to an inner circumferential surface of the long-side portion of the frame-like member (11, 21), and a short-side portion 9308126-1 (13, 23) forming a short side of the rectangular shape when viewed from the top comes into contact with the external member in a long-side direction in which the long-side portion extends when viewed from the top, in a non-adhering state.