Non-framework cable hoisting erection is a main construction method for long-span arch rib bridge. Geometric nonlinearity is a key problem in the construction simulation of this type of bridge. A general method for construction sequence simulation of long-span arch rib bridge is proposed, and stage-by-stage construction of the Daning River Bridge is simulated. Comparisons of cable forces and finial arch rib geometry between results obtained from actual measurements and those from the simulation analysis are presented. Results showed that the developed method can be used effectively for nonlinear finite-element simulation of long-span arch rib bridge construction.