A vibration-damping device for damping vibrations of a vibrative member of a vehicle, including: a mass member disposed in the vibrative member such that the mass member is non-adhesive to and is displaceable independent of and relative to the vibrative member; the mass member and the vibrative member being brought into impact against with each other at their abutting portions. At least one of the abutting portions of the mass member and the vibrative member is formed of an elastic member adapted to undergo shear deformation in a direction in which the mass member and vibrative member are brought into impact against each other.