Stability during vehicle movement is considered an exceptionally important aspect. It is particularly important from the point of view of active safety in modern vehicles. In this regard, it is significant to know the maximum forces that occur at the contact of the wheels with the roadway. This article attempts to determine the value of these forces. For this purpose, a calculation algorithm was developed, using the Dynamic Square Method (DSM). This is a method for determining the limit force value on vehicle wheels. For the purpose of the analysis a two-wheel vehicle model was used. With its application, the characteristic of the longitudinal limit forces on the wheels was calculated, depending on the lateral acceleration values for selected vehicle reference characteristics. The DSM method was also used to analyze the impact of parameter changes such as the height of the center of gravity and axle mass distribution on the values of these longitudinal thrust forces on the wheels. As a result of the implementation of the DSM algorithm, the characteristics for a quadrangle bounded field are obtained, presented as a set of isoclines of constant lateral acceleration values achieved for the given longitudinal forces on the front and rear axle wheels. By analyzing the obtained graphs, it is possible to determine the effect that the change of the given parameter has on the achieved longitudinal force values.