An anti-vibration device (1;101) comprising: an inner cylinder connected to one of a vibration generating portion and a vibration receiving portion; an outer cylinder connected to the other one of the vibration generating portion and the vibration receiving portion; an intermediate cylinder pressed in an inner periphery of the outer cylinder; a main elastic body connecting the inner cylinder and the intermediate cylinder; and a stopper elastic body independent of the main elastic body, the stopper elastic body being fixed to the intermediate cylinder and facing, in a direction orthogonal to an axial direction of the inner cylinder, the inner cylinder with at least a cavity (17, 18) in between, the cavity (17, 18) being formed through the main elastic body in the axial direction of the inner cylinder, wherein the stopper elastic body has an axial stopper portion (15a, 15b, 16a, 16b; 115a, 115b, 116a, 116b) that protrudes beyond the intermediate cylinder and the outer cylinder in the axial direction of the inner cylinder; and wherein the axial stopper portion is provided not in the main elastic body but in the stopper elastic body; wherein a center line of the axial stopper portion (15a, 15b, 16a, 16b; 115a, 115b, 116a, 116b) is closer to the intermediate cylinder than a center line of the stopper elastic body, in a cross section orthogonal to the axial direction of the inner cylinder; characterized in that the device further comprises: a second inner cylinder whose axial direction is different from the axial direction of the inner cylinder; and a second outer cylinder connected to the outer cylinder via a connecting rod, and arranged radially outside the second inner cylinder with a second main elastic body in between. an inner cylinder connected to one of a vibration generating portion and a vibration receiving portion; an outer cylinder connected to the other one of the vibration generating portion and the vibration receiving portion; an intermediate cylinder pressed in an inner periphery of the outer cylinder; a main elastic body connecting the inner cylinder and the intermediate cylinder; and a stopper elastic body independent of the main elastic body, the stopper elastic body being fixed to the intermediate cylinder and facing, in a direction orthogonal to an axial direction of the inner cylinder, the inner cylinder with at least a cavity (17, 18) in between, the cavity (17, 18) being formed through the main elastic body in the axial direction of the inner cylinder, wherein the stopper elastic body has an axial stopper portion (15a, 15b, 16a, 16b; 115a, 115b, 116a, 116b) that protrudes beyond the intermediate cylinder and the outer cylinder in the axial direction of the inner cylinder; and wherein the axial stopper portion is provided not in the main elastic body but in the stopper elastic body; wherein a center line of the axial stopper portion (15a, 15b, 16a, 16b; 115a, 115b, 116a, 116b) is closer to the intermediate cylinder than a center line of the stopper elastic body, in a cross section orthogonal to the axial direction of the inner cylinder; characterized in that the device further comprises: a second inner cylinder whose axial direction is different from the axial direction of the inner cylinder; and a second outer cylinder connected to the outer cylinder via a connecting rod, and arranged radially outside the second inner cylinder with a second main elastic body in between. a second inner cylinder whose axial direction is different from the axial direction of the inner cylinder; and a second outer cylinder connected to the outer cylinder via a connecting rod, and arranged radially outside the second inner cylinder with a second main elastic body in between.