One of the main trends for development of promising military equipment is to create transport robot systems (TRS).

To conduct a theoretical study of the potential properties of TRS mobility was used a software package for invariant simulation of multibody dynamics system "Euler", which allows us to solve problems regarding the "large displacements", typical for TRS.

The modelling results of TRS motion dynamics when overcoming the single-stage and two stages, which are higher than the roller diameter of propeller are obtained.

Analysis of modelling results of the TRS motion dynamics to overcome obstacles commensurate with its dimensions allows us to conclude that the use of wheel-legged three-roller propulsion can provide the required level of permeability and, as a result, increasing TRS mobility.