The mathematical model of a multi-section articulated bus has been improved in the article, which allowed to determine the stability indicators of the two and three-section articulated buses for the Metrobus system. The critical speed for the three-section articulated bus was 28.06 m/s and for the two-section articulated bus -30.89 m/s. Since the motion of multi-section articulated buses will be carried out on separate lanes with a speed of 25 -28 m/s, one can assume that the stability of rectilinear traffic of both two and three-section buses is provided. In non-stationary modes of motion with two-section articulated buses, the lateral speed of the first bus decreases by almost 8.5 % compared to the three-section and the second trailer-bus increases by almost 9.5 % compared to the three-section. In this case, the motion stability of multi-section articulated buses can be considered satisfactory, as the lateral accelerations in the center of mass of all sections do not exceed 0.45 g.