The adverse factors such as damper position and damper, stiffness, and couple movement et al. are not avoidable in existing bridge cable mitigation models.In this study,A stay cable with a Tuned mass damper (TMD) installed is proposed for vibrate reduction. Damping properties in the free vibration of the system were extracted by complex-mode analysis technique. Explicit analytical approximation was obtained by numerical method. Result shows that the proposed TMD system damping stay cables vibration strategy could effectively overcome the common position limitations of idealized damper. The new optimization method taking account a thorough effect of the TMD system stiffness, mass, damping and other parameters on the damping ratio of modal parameters in cable vibrating reduction model.Hence the new model matches well with the actual occurrence in bridge engineering.