Abstract: Dynamic behaviors of visco-elastic pipes conveying pulsating fluid are investigated in the Hamiltonian system. Firstly, vibration equations of straight pipes conveying pulsating fluid are discretized using state vectors composed of displacements and momentum. Then, a precise time integration method with a linear approximation formula is used to solve nonlinear symplectic canonical equations. Finally, this approach’s precision is testified by numerical examples of pinned-pinned pipes with different fluid parameters. The results show that this method is an efficient and stable approach for the dynamic analysis of fluid-conveyed pipes.