The bronze chime bells of Marquis Yi of Zeng are precious cultural relics of China.The bells have a two-tone acoustic characteristic, i.e., striking different parts of the bell generates different tones.In this study, we use a finite element method to simulate the propagation of elastic waves and the generation of free oscillations of the bell.Vibrations with different spectral characteristics can be obtained by striking different parts of the chime bell of Marquis Yi of Zeng.By the observation of the vibration design and through spectral analysis, we further help the understanding of the two-tone acoustic characteristic of the chime bell of Marquis Yi of Zeng.