The article deals with the issue of vertical vibration of the vehicle model with consideration of the effect of asymmetry. Different models, quarter, half, and complete are listed. The advantages and disadvantages of each model are presented. The basic computational relations for a symmetric and unsymmetrical model are derived in the article and symmetric, unbalanced loads with varying degrees of freedom are listed. Excitement is triggered by jumping change of storage, in the analytical solution is realized by Heaviside function (in experimental solution by jump from wedges). The models of railway vehicle, two-axle and chassis with simple suspension are presented. The numerical solution is carried out for the complete model vehicles with unbalanced loads and unbalanced excitation without considering damping. Vertical displacements, velocities, accelerations, and angles of symmetry axis rotation are considered. The aim of the solution is to determine the time course of the vertical vibration of the general point (3 degrees of freedom are considered).