Abstract: This paper concerns the active vibration suppression modeling and analysis for the large satellite reflector antenna arm of piezoelectric material. The internal moment and the displacement difference are considered in the place of the stress and the strain of the piezoelectric material, respectively. By building an explicit coupling model based on the rigid-flexible coupling satellite model as well as the vibration suppression and attitude control system, the method can be used to predict the transfer characteristics and the vibration responses of the antenna structure. For a large satellite reflector antenna, the results in the time/frequency domains are analyzed with respect to the piezoelectric material layout and the computing boundary condition, respectively. The analysis results show that the presented method can be used to determine a reasonable layout of the piezoelectric material on the antenna arm, and for the performance analysis of the active vibration suppression.