Abstarct: In this study, the steady state response of a cable which is locally connected to a spring and damper is investigated. The spring and damper are attached to a typical point of the cable, in one side, and to the ground in the other side. Both ends of the cable are simultaneously excited and the steady state response and mode complexity of the system is studied. This study is repeated for a nonlinear spring- linear damper which is located in the middle of the cable. In order to solve the equations of motion for linear case, the method of separation of variables is used. But ,in the following, instead of complex eigenvalue method and extraction of complex modes and frequencies, frequency response constants have been obtained in terms of frequency. For calculating steady state response in the case of nonlinear spring- linear damper, the method of invariant manifold is implemented. For linear case, it is shown that the damping term leads to frequency shift and mode complexity occurrence. Also a specific combination of damping and stiffness construct the maximum mode complexity and the appearance of moving waves in the cable. This combination depends on the location of spring – damper and the excitation frequency. Furthermore, for nonlinear case, extreme variations in phase, mode shapes and dependency of frequency response amplitude to excitation amplitude were observed.