The invention relates to an additional eccentric acoustic black hole vibration reduction structure, and in a uniform area, namely a cylindrical area, of the vibration reduction structure, the propagation speed and wavelength of waves with a certain frequency are not changed. However, at an acoustic black hole part, the propagation speed of the wave is reduced along with the reduction of the thickness; the wavelength is reduced, the vibration amplitude of waves is increased and is gathered toward an area with reduced thickness, when the waves arrive at the cut-off position, due to the fact thatthe vibration reduction structure is provided with an acoustic black hole extending part, namely a first annular part, bending waves continue to be propagated at the wavelet speed, the weak-structureposition occurs at the outermost end of the structure, the deformation of the outer end is easier, the acoustic black hole effect is easier to occur, and the high-efficiency broadband vibration reduction and noise reduction are achieved.