Vibration Isolation Module is used in towed under water acoustic sensor systems to control mechanically induced tow noise. In general, they have a gel filled in a polymeric outer hose and tensioned polymeric strength members running through it. Vibrations passing through the strength member are to be eliminated and for this purpose strength member is placed in a viscoelastic gel. Finite element analysis of the Vibration Isolation Module has been carried out. The modelling has been done with ANSYS. Damping characteristics of strength member in viscoelastic gel has been analysed. Modal analysis is performed on the structure to obtain the natural frequencies and mode shapes of the structure. In order to obtain the dynamic responses of the vibration isolation module a harmonic analysis is performed and responses are observed for various end conditions.