Pinion and rack transmission system is one of the core components of hoist-way construction hoist.In order to master the load characteristics of gears during operation, based on rigid-flexible coupling dynamics, a joint modeling method using Solidworks, ANSYS and ADAMS software platform is constructed. The rigid-flexible coupling model is established. Taking a practical working condition as an example, the simulation is carried out to analyze the change law of pinion stress under the condition that the pinion and rack are engaged correctly and at a certain Angle, and the causes of tooth surface wear during the operation of the system are analyzed. The simulation process and results provide reference and basis for the optimization design of pinion and rack teeth.