Non-cable hoisting frame is a construction method of the main arch ribs of big span bridge. The key issue in the numerical simulation of this type of bridge construction is geometric nonlinearity approach. Construction method of long-span bridge rib and stage-by-stage construction method of a arch bridge was simulated by finite element method. The geometric description was attained comparison with simulation results and the actual measurement of cable force. The results show that finite element method is effectively used in the simulation of long span arch bridge construction.