Aimed at the geometrical nonlinear behaviors of suspension pipeline bridge cable system, the stiffness matrix of the cable structure units under coupling effect is analyzed. On the basis of this, taking a Yellow-River suspension pipeline bridge as a prototype, a finite element simulation model of the suspension pipeline bridge is established. Through the form-finding calculations, the initial position of the cable structure model is determined. Furthermore, the nonlinear finite element analysis of the model is conducted under the normal operation of the suspension pipeline bridge. Five kinds of cable structures’ stress distribution rules, namely the main cables’, the wind cables’, the stable cables’, the slings’ and the lanyards’ are obtained. At the same time, the engineering test data of the suspension pipeline bridge is used to verify the correctness of the theory, the model and the simulation results. The results show that: in the normal operation condition, the stress values of each kind of suspension pipeline bridge cable structures are much smaller than their standard breaking strength of 1570MPa; the axial stress of the main cable, the wind cable and the stable cable show symmetrical distribution along the center of the bridge, and the stress of the sling system and the lanyard system are symmetrically distributed with the respective twenty-seventh pairs of cable as the center; for the lanyard system, the maximum stress does not appear on the twenty-seventh pairs of cable, but on the vicinity of its both sides.