Abstract:In this paper ,the natural vibration of mlti-spans cable with supports in different lines was studied.The modal function of single-Span was derived and the characteristic equation of frequency of multi-spans cable was derived based on the boundry condition and continuous condition of single-Span and the natural frequrncy of multi-spans cable was decided. Through the FEM analysis of mlti-spans cable, the correctness of the method was verified. In the analysis of example, the influence of angle to natural frequrncy was discussed.