Practice of operating heavy wheeled machines (T-150K, K-700, K-701) and experimental data show that even if the average pressure of a wheel on soil is maintained, degree of its compaction increases. To explain this phenomenon, in our opinion, it is necessary to develop a mathematical model of interaction process of a deformable pneumatic with an elastic-plastic medium, which is considered to be soil subject to modern processing. Working parts of agricultural machines process a wide variety of materials, number of which is increasing, in addition, method of processing the same material is often changed in an effort to improve agricultural technology. This forces us to create new mechanisms for agriculture that were known before. Use of replaceable toothed working parts on flat-cut cultivators helps to reduce energy consumption and improve quality of non-moldboard soil cultivation. Article proposes a method for mathematical description of distribution of machine load over contact surface of a wheeled mover with deformable soil. At the same time, several assumptions and conditions were adopted, namely: volume of skeletal part of deformable soil element remains constant, independent of deformation; contact surface is a curve of two radii - in the load zone (Rl) and in the unloading zone (Ru), tire operating in driven mode has no skids; deformable soil is uniform in depth; wheel load is constant; tire radial stiffness along tread portion width is also constant in magnitude and direction; lateral pressure along deformable soil depth is small and is not taken into account in calculation.