To overcome the limitations of traditional long-span suspension bridges with steel cables, the mechanical behavior of suspension bridges with various FRP and hybrid FRP cables have been comprehensively investigated. An analysis model of a suspension bridge adopts a prototype of the proposed Messina Bridge with a main span of 3300 m. The static and dynamic behaviors of the entire suspension bridge with steel and different FRP cables were analyzed using the finite element method. The results indicate that the application of FRP cables in long-span suspension bridge benefits the spanning ability, improves the load-carrying efficiency and reduces the axial force of the cable. The modal analysis results show that the long-span suspension bridge with different material cables have similar mode shape although the natural frequencies of the bridges with FRP cables are larger than that of the bridge with steel cable due to lower self-weight. It is also revealed that the adoption of FRP cables decreases the seismic responses of the suspension bridge owing to their better energy dissipation behavior, meanwhile FRP cables improve the flutter critical wind speed and contribute to the overall aerodynamic stability of large-span suspension bridge.