Vibration dampening devices for arrows are installed in the arrow point end of the arrow shaft or in the nock end of the shaft or in both of those ends. These devices: (a) are fabricated from elastomeric materials; (b) have an elongated core surrounded by one or more annular, vibration dampening elements; and (c) employ decay time modification to attenuate shock and vibration. The devices are assembled in axially aligned relationship to an arrow point insert or arrow nock, and coupling features insure a positive connection between the dampening device and the arrow point insert or nock to which a device is assembled.