Abstract <p>The authors focus on the numerical modeling of the dynamic behavior of elevator and counterweight with regard to airflow in a ventilation mine shaft. The finite element model of the test system is constructed. The modeling takes into account the rotation and displacements of the elevator and counterweight, as well as the elastic forces from the roller guide. The elevator and counterweight travels is studied at different stiffnesses of springs which ensure continuous contact in the roller guide–rail assembly system. The research findings are the pressure patterns in the mine shaft, the horizontal displacement field of the elevator hoist machine and the elastic forces in the roller guide springs of the elevator and counterweight.</p>