Based on the multi-body dynamics theory, paper builds the virtue prototype of the RV reducer with Adams software. By apply the cycloid gear equation with modification to create the backlash between cycloid gear and the pin gear. Build the backlash model between eccentric shaft and bearing with definition of constraint and function method. By using the MNF file to consider the deformation of the cycloid, pin gear and planet carrier. The dynamic flexible-rigid model of the coupled RV reducer was established. Then output curves of rotation rate, acceleration, force and angle inaccuracy were conducted. Then change the value of the backlash and to study its effect on the transmission error.The simulation results of the RV reducer provides the foundation for the further study of the precision analysis.