Abstract: The dynamics differential equations of flexible kinetic mechanisms were established on the basis of using the floating coordinate system and mode flexibility according to the kinetic reliability characters of the flexible bodies on space applications. The integral and iteration algorithm was applied in the solving of dynamics equations. The reliability analysis and simulation methods of kinetic mechanisms were studied, which included the first-order second-moment method and the hi-efficient response surface method. Especially, the applicability of this method on the space flexible mechanism kinetic reliability was analyzed. The kinetic reliability analysis and simulation were successfully provided to the deployable space mechanisms on the basis of flexible multi-body dynamic modeling, using ADAMS and self-developed software S RSM (sequence response surface method).