A vibration damping device including a main unit including first and second attachments connected by a rubber body, the second attachment including metallic first and second connectors inserted into metallic first and second grooves of a bracket. The metal is exposed on outer and lower faces of the first connector to be in metal-to-metal contact with groove-inside bottom and lower faces of the first groove. An upper urging rubber on the first connector contacts a groove-inside upper face of the first groove. The metal is exposed on a lower face of the second connector to be in metal-to-metal contact with a groove-inside lower face of the second groove. Upper and outer urging rubbers on the second connector contact groove-inside upper and bottom faces of the second groove. Detent engagers between the connectors and the grooves prevent dislodgment of the connectors from the grooves.