Goal. To improve the smooth running of the modular energy unit by creating an elastic-dissipative connection of the energy module with the technological one. Methods. Mathematical formalization of the studied process was based on the provisions of theoretical mechanics, tractor theory, statistical dynamics, frequency methods of the theory of automatic control of linear dynamical systems for testing statistically random perturbing effects. The experimental studies were based on both generally accepted standards and developed original methods using tensometric, vibrographic equipment with the recording of signals recorded on a PC using an analog-to-digital converter. Processing of experimental results was performed on a PC using probability theory and correlation spectral analysis. Results. According to the results of the study, an adequate dynamic model of a modular power tool in the plow unit as a multi-axis dynamic system is obtained, which allows studying its motion in the longitudinal-vertical plane. The values were obtained of the amplitude characteristics of the vertical displacements of the rear axle of the power module during the reproduction of the oscillations of the path profile and traction resistance of the plow at different values of the coefficient of dissipative resistance of the two modules of the modular power vehicle. Based on these experimental studies, the dependences of the normalized correlation functions and the spectral densities of the accelerations of the vertical oscillations of the rear axle of the energy module at different values of the coefficient of resistance of the dissipative connection of the two modules were obtained. Their analysis made it possible to substantiate the value of the rational rigidity of the elastic-dissipative connection of the energy and technological modules of the modular energy unit of universal use. Conclusions. Studies proved that with increasing the coefficient of resistance of the dissipative connection of the two modules to 1.80 kN·s·m–1, the amplitude of oscillations of the rear axle of the power module decreased 10 times, and resonant peaks of frequency characteristics were shifted to low frequencies from 16.5 s–1 to 6.0 s–1 with simultaneous reduction of their maximum values by 4 times. The peaks of the amplitude-frequency characteristics for the reproduction of the modular energy unit of oscillations of the traction resistance of the plow shifted from 13 to 10 s–1 with a simultaneous decrease in their maximum values by 3 times. It is proved that the rational stiffness of the elastic-dissipative connection of two modules falls on the value of the resistance coefficient 1.65 kN·s·m–1. The dispersion of the accelerations of the vertical oscillations of the modular energy unit was reduced by 3 times. It is established that the oscillations of the traction resistance of agricultural tools have 10 times less effect on the smoothness of the modular power tool in the plowing unit than the oscillations of the longitudinal profile of the track.