Smooth plowing with the help of reversible plows has replaced an enclosure method of soil treatment. The method may cause a formation of back ridges or open furrows. Due to this fact turnings of a tractor unit with a minimum radius required in order to ensure shuttle movements each time in the furrow of the preceding operating stroke have become a dominant type of turnings. Non-productive shift time is directly dependent on them and it is on the average 10–12 %, and it is up to 40 % in small contour areas with short run. Large non-productive time is connected with the desire to reduce headland width at field edges, and then a turning is made in several stages while using a complicated maneuvering. Therefore, an increase in efficiency of a plowing unit by means of minimization on its turning radius and execution of turning at one stage in the shortest possible time are considered as relevant objectives. In such a case it is necessary to take into account the fact that potential capabilities of universal tractors having established time-proved designs in respect of reduction of turning radius are practically at the end. So it is expedient to solve the matter at the expense of additional removable devices that ensure transformation of tractor wheel formula at the run end in order to reorient its position. Finally high quality plowing ensured by future-oriented reversible plows will be accompanied not only by output increase per shift, but also by decrease in headland width, their compaction and abrasion due to suspension systems and increase in productivity. The developed design having a novelty which proved by an invention patent and representing an additional supporting and maneuvering device significantly minimizes all the above-mentioned disadvantages and does not require any changes in tractor production design. Investigations have been carried on the following topic: “Minimization of turning radius for universal tractors by transformation of wheel formula”. The paper presents a mathematical model, which reflects all the parameters having an effect on a tractor unit with a supporting and maneuvering device and it also considers a longitudinal and transverse stability.