Axial passive control of tensile cable vibrations is studied. An elastic restraint is set at the end of cable in axial direction and the support translation is influenced, which leads to the change of vibration characteristics of cable and the damping effects are arrived. Taking the sag, geometric non-linearity and bending stiffness into account, the governing equation of in-plane vibraion of cable-restraint system is established by means of D’Alembert principle,and then those partial differential equations are transformed into a set of ordinary differential equations through Garlerkin method. The method of Runge-Kutta integration is applied to solve the equation. The simulation analysis is processed to prove that this vibration control has obvious damping effects. Eventually,the approximate analytic solution of the optimum damping parameter is obtained.