The vortex-induced nonlinear vibration of casing pipes in the deep water is studied considering the loads of current and combined wave-current. The vortex-induced vibration equation of a casing pipe is set up with considering the beam mode and Morison's nonlinear fluid damp as well as the vortex-excited loads. The approach of calculating vortex-excited nonlinear vibration by Galerkin's method is proposed. The natural vibration characteristics and the vortexexcited vibration response of 170m long casing pipe in the 160m depth of water are investigated, the resonance induced by wave and the resonance under combined wave-current were investigated, which is shown that the method is practical.

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