A vibration-damping device , comprising: a vibration-damping device body ; and a bracket , wherein the vibration-damping device body comprises: a first mounting member mounted on one of a vibration-generating portion and a vibration-receiving portion via the bracket ; a second mounting member mounted on the other of the vibration-generating portion and the vibration-receiving portion; and an elastic body connecting the first mounting member and the second mounting member , the first mounting member is fitted into a fitting hole formed in the bracket , a first guide portion , which has one of a projected shape and a recessed shape extending in a first axial direction along a central axis of the fitting hole , is formed on an outer circumferential surface of the first mounting member , a second guide portion , which has the other of the projected shape and the recessed shape extending in the first axial direction, is formed on an inner circumferential surface of the fitting hole , the first guide portion is fitted to the second guide portion , the first mounting member is formed of a synthetic resin material, a metal fitting having first engagement surfaces coming into contact with the second guide portion is arranged on the first guide portion , and a surface of at least a part of the second guide portion is formed of a metal material, and is a second engagement surface that comes into contact with the first engagement surface , characterized in that the metal material of which the metal fitting is formed has a smaller longitudinal elastic modulus than that of a metal material of which the second engagement surface is formed. a vibration-damping device body ; and a bracket , wherein the vibration-damping device body comprises: a first mounting member mounted on one of a vibration-generating portion and a vibration-receiving portion via the bracket ; a second mounting member mounted on the other of the vibration-generating portion and the vibration-receiving portion; and an elastic body connecting the first mounting member and the second mounting member , a first mounting member mounted on one of a vibration-generating portion and a vibration-receiving portion via the bracket ; a second mounting member mounted on the other of the vibration-generating portion and the vibration-receiving portion; and an elastic body connecting the first mounting member and the second mounting member , the first mounting member is fitted into a fitting hole formed in the bracket , a first guide portion , which has one of a projected shape and a recessed shape extending in a first axial direction along a central axis of the fitting hole , is formed on an outer circumferential surface of the first mounting member , a second guide portion , which has the other of the projected shape and the recessed shape extending in the first axial direction, is formed on an inner circumferential surface of the fitting hole , the first guide portion is fitted to the second guide portion , the first mounting member is formed of a synthetic resin material, a metal fitting having first engagement surfaces coming into contact with the second guide portion is arranged on the first guide portion , and a surface of at least a part of the second guide portion is formed of a metal material, and is a second engagement surface that comes into contact with the first engagement surface , characterized in that the metal material of which the metal fitting is formed has a smaller longitudinal elastic modulus than that of a metal material of which the second engagement surface is formed. <EOS>