In order to reveal the forming process of ice accretion on transmission lines, on the basis of fluid dynamics and thermodynamics, we established an ice accretion prediction model, including the process of lines capturing super-cooled water droplet and heat transfer on ice surface. In the model, we obtained the 2-D air flow field of irregular objects using the boundary element method. Then under the condition of gas-liquid two-phase separation, we acquired the motion control equation of water droplet, which was combined with the movement trajectory of super-cooled water droplet, and used the second-order differential equation to calculate the instantaneous local collision efficiency of each surface unit of transmission line. Consequently, after building and solving heat balance equations, we obtained icing situation of surface units, and then taking the icing time into account, we simulated the process of ice accretion. The obtained icing morphology and weight accord with the existing experimental results. Moreover, the model can run continuously regardless of inputting time-varying environmental parameters and conductor status during calculation. The time-varying icing morphology and weight on conductors can be calculated using the proposed model, while the calculation adapts to practical, complex, and time-varying weather conditions.