The article developed a block diagram and mathematical models of the processes of the lever-electromagnetic system of lateral stabilization in order to analyze the change in the roll angle of the GAZelle NEXT all-metal van during curvilinear movement with a lever stabilizer (without EMC) and using a system of lever-electromagnetic stabilization (with EMC). Modeling of a lever-electromagnetic transverse stabilization system with and without EMS in the Matlab&Simulink system is presented. As a result of modeling curvilinear motion, the effectiveness of using a lever-electromagnetic stabilization system (EMS) was proved in comparison with lever stabilizers (with-out EMS) based on a comparison of roll angles.