The present invention provides a vibration-damping device having an inner cylinder, an outer cylinder arranged at a distance on an outer diameter side of the inner cylinder, a rubber elastic body interposed between the inner cylinder and the outer cylinder for elastically coupling the inner cylinder and the outer cylinder, and an intermediate plate embedded in the rubber elastic body. A plurality of cutout parts positioned on both end sides in the axial direction of the outer cylinder for joining an inner side rubber elastic body and an outer side rubber elastic body are formed in the intermediate plate. At least one of the cutout parts is arranged to overlap on an area that is sandwiched between two parallel imaginary planes that are adjacent to the outer peripheral surface of the inner cylinder.