To solve the flow-induced vibration noise problem of the streamlined structures of the underwater vehicle's sail, computational fluid dynamics (CFD) and computational acoustics numerical method are employed, the distribution of flow field and the characteristic of flow-induced vibration noise are comprehensively analyzed. The hydrodynamic pressure fluctuation on the structure surface is used as the excitation to solve the acoustic vibration coupling of the structure with a acoustic coating. By comparing the flow-induced vibration noise before and after applying the acoustic coating on the underwater vehicle's sail, the influence of the acoustic coating material parameters on vibration noise is explored. It can provides a reference for vibration reduction in underwater vehicle.