The traditional Acoustic Black Hole (ABH) structure controls the wave propagation by designing and optimizing the shape of the structure itself, and has the advantages of simple implementation and high control efficiency, which has been exploited for vibration control and noise suppression. However, the tailoring of the structure will lead to a decrease in the rigidity of the structure, which limits the application prospect of the conventional ABH structure in practical engineering. In this paper, an add-on two-dimensional circular ABH based dynamic vibration absorber (2D ABH-DVA) is proposed for structural vibration control by referring to the design of Dynamic Vibration Absorber (DVA) and giving full play to the advantages of ABH. The coupling dynamic model of the primary structure with the add-on ABH structure is established, and the coupling conditions which are beneficial to the vibration control are analysed. A numerical investigation was carried out on the mechanism of the vibration control and to further validate the coupling between the primary structure and the add-on ABH structure. The simulation results show that add-on ABH structure can achieve good coupling with the primary structure without special design, and achieve good broadband vibration control effect.