The article deals with the stabilization of the movement of the wheels of the front swivel trolley two-axle tractor trailer. The proposed technical solution of the stabilizing devices of the front swivel wheels of tractor trailers, equipped with a turning circle of, defined by the force of reaction affecting the stabilization of the cart wheels with a turning circle, the axis of rotation of which (the pin) are inclined to the vertical in the longitudinal vertical plane. Dependences of the reaction moments acting on the wheel of the rotary cart internal in relation to the center of rotation on the angle of rotation of the running axis of its wheels are established. The analysis of these dependences shows that the slope of the turntable of the front trolley of a two-axle trailer contributes to the emergence of power reactions and moments stabilizing the movement of the front wheels - ie. maintaining a neutral position corresponding to straight-line motion, the total moment of stabilization is the most important in straight-line motion, which has a positive impact on the important performance indicator - the stability of straight-line movement. Increase of stability of rectilinear movement promotes more safe operation of tractor transport units, gives the chance of fuller use of high-speed and power indicators of modern power-saturated tractors at transport works at the enterprises of agroindustrial complex.