Abstract: Nonlinear dynamics response of deep-water production top tensioned riser under three different moving conditions is calculated using finite element analysis software. The internal flowing fluid's influence is taken into account. Time-domain vibration characteristics of TTR under every boundary is compared through an example. Results show that internal flowing fluid and top platform movement can deeply affect the dynamical response characteristics of the riser, increase the amplitude of displacement and stress, and induce the changes of riser's global strength and fatigue characteristics which can guide riser's design, and has a great significance on engineering practice.