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In this paper, the vibration problem of pipes conveying fluid under complex conditions of parametric and external excitations is researched.The dynamics model of the pipes conveying pulse fluid simply-supported at both ends is established.The nonlinear governing equation of motion of the system is derivated and is non-dimensional.The method of multiple scales and Galerkins method are employed to transform the partial differential governing equation of motion to the averaged equations in the case of the principal parametric resonance-main parametric resonance-1∶2 internal resonance.By numerical simulation, the two-dimensional phase diagram, three-dimensional phase diagram, two-dimensional wave diagram and frequency spectrogram are obtained.The results of numerical simulation indicate that there exist the periodic motion and chaotic motion in the system with the variety of the excitation.