Abstract: The damping and frequency of cable-damper-spring system was studied. The complex frequency equation of taut cable with a discrete damper and spring was derived. Asymptotic approximate solutions for the damper and spring was both close to the cable ends were developed as the frequency shifts between free cable and damped cable was small. The comparison between accurate numerical results and approximate formulations showed that they were close to each other. It was found that the spring would reduce the maximum attainable damping as the damper and spring were located at the same end of cable; but the spring would not affect the damping as the damper and spring were located at the two ends of cable. The hybrid numerical and approximate formulations were also given for the case of spring was not close to cable anchorage. The effects of spring stiffness and location to maximum modal damping, the corresponding frequency and the optimum damping parameter were also investigated. The main founding of this paper could provide design basis for cables with both rubber bushing and damper or cable networks with dampers.