Vibration-damping device

A vibration-damping device comprising:

• a first mounting member configured to be mounted to one of components of a vibration transmission system;
• a second mounting member configured to be mounted to an other of the components of the vibration transmission system;
• a main rubber elastic body connecting the first mounting member and the second mounting member elastically to each other;
• a bracket attached to the second mounting member, the bracket having a mounting part configured to be mounted to the other of the components of the vibration transmission system;
• a tubular outer member secured press-fit to the second mounting member;
• a mass member disposed within the tubular outer member;
• and
• a support rubber fixed at an outer peripheral part of the mass member, the support rubber elastically connecting the tubular outer member and the mass member to constitute a dynamic damper, wherein the tubular outer member opens to a lower side, while a detent projection is provided projecting to a radial inside at an opening of the tubular outer member on the lower side so that the detent projection constitutes a fail-safe structure avoiding the mass member from becoming dislodged out of the tubular outer member to the lower side.