By using the involute gears instead of the cycloid pin gears in the RV reducer,a 2K- V involute planetary gear reducer is redesigned,and a three dimensional model of the reducer is established. The static contact simulation of the internal meshing which is a key part of the reducer is proceeded by the finite element analysis software ABAQUS. Then,the meshing tooth pairs and the load distribution are obtained and compared with the results of theoretical calculation. A further comparing of contact load and the elastic meshing effect coefficient under different torque is conducted. Finally,considering the influence of gear frictional heat,a steady- state coupled contact simulation under rated torque is carried out,the temperature field distribution and the thermal stress distribution of the tooth are obtained,the reliability of the gear contact characteristic is proved.