In the process of moving, automobiles are influenced by many factors that destabilize the trajectory of motion, including mining factors and traffic environmental conditions. When analyzing the stability of the trajectory of movement of a car should be considered Automotive is a dynamical system with input effects (such as steering angle, horizontal wind, …) and stability of output parameters. The paper builds a horizontal dynamics model with the action of lateral forces on automobile and applies Matlab/Simulink software to simulate and evaluate results. The study of the factors affecting the lateral forces on the dynamics of automobile motion helps to stabilize the trajectory of the car to design and bring automatic control systems to improve the stability and direction control of the car to meet the current trend of driving automation.