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Introduction. Tillage is the most important part of the agricultural crops cultivation technology. Currently, tillage accounts for 35‒40% of the energy consumption of the total volume of field work and up to 20% of the energy consumed in the agriculture sector. Tillage allows regulating the water-air regime and the intensity of biological processes, maintaining the necessary phytosanitary condition of the soil and crops. The energy intensity and quality of tillage depends on the degree of excellence of technical means. Mathematical modeling of the tillage process by various soil-cultivating working bodies is an urgent task to develop more advanced energy-efficient technical means. Aim of the Article. The purpose of the research is to develop mathematical models for determining and analyzing the indicators of tilling the soil by the bracket-shaped working body. Materials and Methods. In the process of theoretical studies of the bracket-shaped tillage working body for continuous surface tillage, there were used the methods of analysis, generalization and systematization, theoretical mechanics, mathematical statistics and modeling, probability theory, differential calculation, and the theory of interaction of working bodies with soil and their movement over the field surface. Results. The analytical models for determining the pressure, traction resistance, the total force of the soil layer compression, the time of passage of the working body, the required power and the quantity of energy expended on compression of the soil layer depending on the speed of the working body movement are obtained. Graphic dependencies of the investigated parameters of the bracket-shaped tillage working body are presented. The dynamics of parameter changes is identified. Discussion and Conclusion. The proposed mathematical models and the revealed regularities of changing the parameters of tilling the soil by the closed-cycle working body a will make it possible to develop new effective working bodies and optimize the design, technological parameters and modes of their operation.