Research objective is to define the parameters and conditions for a four-track vehicle to overcome boulders and stone rivers. Methods of research include the methods of theoretical mechanics and mathematical analysis. Conditions of climbing and tipping are deduced from geometrical relationship, while the conditions of slipping is deduced from the statics. Results. Mining conditions are currently complicated due to the gradual shift of mining to remote northern regions. Road and natural climatic conditions of northern and arctic territories differ from other Russian territories in terms of the low road density and severe climate. Global warming and ice cover depletion have made numerous northern regions accessible and costeffective for surveying and further mining. Natural climatic and road conditions of northern and arctic regions differ significantly from other territories. Lake and marsh terrain as well as hill and ridged terrain predominate. Ravines and swampy hollows, as well as stone rivers impede vehicles movement during prospecting. For this reason, special technical requirements are imposed on prospecting equipment, namely high cross-country ability on weak soil (snow and swamp) and high transport and adhesion properties with maximum compliance with environmental standards, the ability to overcome stone rivers, etc. A four-track vehicle doesn’t cause as much environmental damage to the northern nature, and the tundra in particular, as a two-track vehicle. The research considers and determines necessary conditions for a fourtrack vehicle to overcome an obstacle. Conclusions. A mathematical model is proposed that describes the movement of a four-track vehicle across the rough terrain and makes it possible to determine the maximum height of the obstacle.