The objective of this research was to investigate the behavior of cables with two springs-damper and one viscous damper. To this end, a major mode is adopted to control the vibration of the cable. In this mode, two damping springs are connected to both ends of the cable. The purpose is to reduce the vibrations of the cable by placing a third damper. In this case, employing spectral power density diagrams, the impact of the third damper on declining the vibration of the cable in the first three modes was presented for various values of damping coefficient for all three dampers and different damping installation places.