In order to enhance the identification precision,the flexure stiffness and support vibration are considered to model the cable,and the model is analyzed to obtain the displacement function and the relationship between cable tension force and frequency.We carry out several studies which have demonstrated that if the cable tension is little,the cable tension force considering the support vibration will be larger than the force omitting the vibration,but along with cable tension increasing the discrepancy becomes less,so the model considering the support vibration can accurately model the cable structure.