This paper is devoted to development of methodology of system analysis of power distribution systems and development of methods of synthesis of objective laws in the power distribution among drive wheels of a multipurpose wheel vehicle.The methodology of system analysis provides for formulation of the problem; structural analysis of power distribution systems; the synthesis of objective laws in the power distribution; development of methods for their implementation. The methodology is based on the theory of the synthesis of technical systems. In this paper it has been solved the inverse problem of dynamics, namely: in accordance with specified requirements to effectiveness of the multipurpose wheeled vehicle, expressed in the form of formulated performance criteria, it is necessary to determine parameters of characteristics of control actions. The main stages of the methodology for determining of the objective laws of the power distribution among the drive wheels of the machine are: formulation of the optimization problem; computational procedure and definition of the basic laws of the power distribution; adaptation of the basic laws, and assessment of the effectiveness of proposed solutions.We have developed a new principle of power distribution, providing the required level of mobility of the multipurpose wheeled vehicle (the principle of the modified regulation of slippage of the drive wheels): power delivered to the drive wheels has to be distributed among them in such a way as to ensure in every moment of time their proportional slipping. Evaluation of the effectiveness of the principle of the modified control slipping and method of combined control using the perturbation and the deviation with forecast of the perturbations shows that the use of the developed principle allows us to increase the average speed up to 25%; angle of slope overcoming up to 14.4%; dynamics of dispersal up to 8-11%; and to reduce power losses on the slipping when moving with acceleration at a part of road with different coupling properties on different wheels up to 22%.Application of the methodology of system analysis allows us to improve the quality of design of the systems of power distribution among drive wheels and to design multi-purpose wheeled vehicles with optimal parameters.