The problem of motion with wheel slip of the four wheeled mobile platform has been discussed in this work. Model of dynamics of motion of such a mobile platform has been presented. Considering the model, the initial problem of platform motion and the numerical algorithm for solving this problem has been presented. Possible cases of motion of the prototype of the mobile platform with four drive modules have been considered. The platform motion simulation results have been obtained taking into account the variable values of the active forces caused by the drive torque and changes in the position of the wheels during the platform movement, as well as the resistant forces opposing the active forces at the contact points of the wheels with the ground. The motion has been implemented with different wheel settings, with controlling the active forces and directions of their settings while driving. The relations between active and friction forces in longitudinal and the lateral directions have been analyzed. The Runge-Kutta 4th order method has been used to integrate the equations of motion. The results of motion simulations and their analysis have been included.