Abstarct: The use of viscoelastic materials have recently been increased in several areas of engineering due to their advantageous physical and mechanical properties. Regarding the latter, the energy dissipation behavior and dampening of extreme forces are of great interest for structural engineers. In this article, nonlinear lateral vibration analysis of elastic cable with viscoelastic cover was investigated. The viscoelastic property was described using he Kelvin -Voigt mechanical model. The governing equations were solved using the Multiple Scale method. The numerical results were provided in terms of the displacement-time history along cable length and a detailed comparison was made between aforementioned cases. The responses revealed that the use of viscoelastic materials as cover is very effective and efficient at damping and decreasing the displacement and vibration of the cable.