Multi-cable stayed beam model of cable stayed bridge was established. Based on Hamilton's principle, the in-plane nonlinear governing equations of cables and beam were derived, in which the static sag and the geometric nonlinearity of the cable were considered and the simple connection condition and boundary condition of the cable and deck were taken into account. Furthermore, Galerkin's method was used to convert the partial differential equations into the ordinary differential equations, and the Runge-Kutta method was introduced to solve the equations. The numerical results of two cables sta...