A two-node cable element which the axial torsion and geometrical nonlinear were considered was developed based on the update Lagrange formulation, and a model of multi-span transmission line for galloping analysis was established. A nonlinear numerical simulation of single iced conductor galloping was proposed. Using computational fluid dynamic, the aerodynamic coefficient of iced conductor with different wind attack angle was simulated. According to the finite element model of multi-span transmission line and aerodynamic coefficient curve, the galloping of iced conductor through the method of fourth-ordered Runge-Kutta method was presented. By the comparison with the classical examples, the results indicated that the presented method are efficient and reliable.