In the practice of agricultural machine building and repair of machines, technological methods of surface hardening are widely used, which significantly increase wear resistance and durability of parts. Combined methods of combining temperature, force and time effects in different manifestations, in particular electromechanical hardening, are particularly effective. The purpose of the study is to identify the relationships between the modes and parameters of the process of electromechanical hardening for parts of machines made of unalloyed and low-alloy structural quality steels. The hardening modes include: magnitude of the force and voltage of the amperage on the hardening tool, contact force of the tool to the part. The parameters of the technological process are: speed of rotation of the part, central angle of contact between the tool and the part, time of point contact between the part and the tool, presence of forced cooling, depth of hardening. Among the tested materials -steel 65G and its substitutes according to GOST 14959, foreign analogues 1056 (USA), 66Mn4 (Germany) and 080A67 (England). Based on theoretical relationships between the temperature of phase transformations in steels, amperage on the tool and force of its pressing, taking into account thermophysical characteristics of the material and process of electromechanical hardening, as well as geometrical parameters of contact zone, a mathematical model of dependence of current force at strengthening from of tool contact force and voltage in secondary circuit is obtained with subsequent quantitative estimation of depth of strengthening of the surface layer of the part. In order to study mutual couplings and influence of factors on response functions at studies of the hardening technological process the graphical interpretation of the mathematical model is performed, which allows to justify range of modes of electromechanical hardening at planning of experiments.