Stability of the rolling stock in a rail track is determined by the nature of the motion of the wheelsets under the influence of processes in the “wheel — rail” system and connections with the bogie and the carriage body. Factors affecting the motion of wheelsets are the irregularities of rail threads and the interaction forces in the “wheel — rail” system, which cause fluctuations in carriage hunting oscillation even in the absence of external disturbances. Parametric excitation of oscillations in the “carriage — track” system is caused by the difference in the radii of the rolling surfaces of the bevel gears with the transverse displacement of the wheelset in the track. This excitation is damped by the forces of resistance to rotation and displacement on the contact surface, the magnitude of which is inversely proportional to the rolling speed of the wheel. Therefore, with an increase in the speed of motion, the magnitude of resistance forces decreases and the intensity of processes determining hunting oscillations in the “wheel — rail” system increases. The excitatory factors on each of the wheelset of the bogie are of random nature and are not interconnected, therefore their vibrations are limited to the designs of the bogie and its connections with car body, which combine all the elements into a single system. Increasing the connectivity of the wheelsets and sidewalls of the bogie among themselves and with the carriage is the most appropriate solution for reducing hunting intensity. To do this, three-element bogies should reduce wear in the spring suspension, prohibiting the raising of the wedge above the plane of the supports of the bolster. To reduce the rotation of the bogie when hunting, bolster should be equipped with elastic contact bearings.