FR vibration damper is widely used in overhead transmission lines to prevent aerolian vibration. In this paper, the vibration characteristics of the damper are analyzed. The finite element method software ANSYS was applied to investigate the modal, harmonic response and PSD of the damper based on the theory of mechanical vibration and dynamic analysis. The results prove that the FR vibration damper performs well in consuming the vibration energy of the transmission lines. Work done in this paper provides a new way based on numerical simulation in design and manufacturing of vibration damper, and has laid a foundation for further study of vibration damper.