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Characteristics analysis of hydraulically damped rubber mount (HDM) for vibration isolation in automotive powertrain is very important at the design and development stage of HDM. Fluid-structure interaction (FSI) between rubber parts and fluid flow in chambers in HDM is critical to the frequency-and amplitude-dependent characteristics of HDM. In this paper, an arbitrary-Lagrangian-Eulerian (ALE) based coupling finite element (FE) method is developed to solve fully coupling problem of FSI in HDM. A typical kind of HDM in a vehicle powertrain mounting system composed of rubber spring, two fluid chambers, fluid track and decoupler is selected to investigate performance prediction of HDM. Dynamic characteristic analysis under typical working condition are calculated and compared with experiment results. The agreeable comparison results verify the effectiveness of the presented FSI formulation and characteristic prediction approach of HDM.