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Realization of potential high-speed qualities of transport tracked vehicles is limited to a number of dynamic phenomena in linear motion. The analysis of the test results of investigating controlled movement dynamics and vehicle operating experience shows that linear motion process is accompanied by essential axial vibrations of the body. When moving along the roads with slightly deformable covering and low adhesion properties the grip of caterpillars with the ground is unilateral constraint. In such conditions a lateral track shift with essential amplitude of random nature is observed, it leads to deviation of a directional angle of vehicle movement within the range of frequencies, which the driver is not able to compensate. Consequently, in order to negotiate the limited corridor the driver reduces travelling speed.