The paper provides an overview of studies of the working processes of disk working bodies of technological machines that provide soil cultivation at different stages of agriculture and forestry. The used designs of forest disk tillage implement have significant disadvantages, namely, insufficient depth of the disks, which results in soil cultivation of insufficient quality, as well as high dynamic loads when encountering various obstacles, which reduce the resource of the unit. The objective of the presented research is to improve the working processes of forestry disc plows by analyzing the properties of hydraulically driven cut-out discs in order to increase their efficiency. A mathematical model of a disk working body with hydraulically driven rear discs with cutouts for strip tillage in forest, root-saturated conditions has been developed. The maximum pressure values of the working fluid in the hydraulic system have been identified. When the angle of attack of the spherical disks changes from 0 to 300, the pressure of the working fluid decreases by 23%. With a further increase in the angle of attack to 450, the pressure of the working fluid increases by 15%, which indicates a nonlinear dependence of these parameters. The maximum traction resistance increases when the angle of attack of the spherical disk changes from 0 to 300 and increases by 29%, and after changing the angle of attack to 450 it increases by 11%. Using the derived formulas, it is possible to approximately determine the kinematic and dynamic parameters of disk working bodies that have cutouts on the cutting surface of the disk.