In order to solve the problems of imprecise cutting length and spatial coordinate positioning of wind cable during construction，a simplified model of arch rib was proposed under the action of wind cable and wind load，the horizontal force of the wind cable along the transverse direction of the arch rib bridge was analysed using the force method. Based on the parabola theory and the catenary theory，the relationship between wind cable arc length and arbitrary anchor position was deduced.Two theoretical values of elastic elongation were calculated using the Hook's theorem，the stress-free cable length was then calculated considering the relationship between arc length and elongation. Taking the minimum arc length of wind cable as the objective function，the optimization model of ground anchor position was established. The result was compared with that of the finite element software ANSYS. The results show that the arc length and stress-free cable length calculated by catenary theory are closer to those of finite element method，determining the spatial coordinates of the cable.The method is accurate and easy to calculate. This study can provide reference for engineer in the process of cable calculation，guiding the construction.