Objective: To obtain analytical responses of linear and angular movements of horizontal jet thrust and axial reduction unit, appearing in the process of their production and group tractive drive assembly, occurring as a result of vertical wheelset and engine’s undercarriage frame shifts during engine movement. The given responses are the basis for identifying its velocity, acceleration, and dynamic loads on drive components, as well as searching for methods to boost drive components reliability, taking into account its constructive specificities and running conditions. Methods: Analytical responses were identified on the basis of higher mathematics, the laws of theoretical mechanics as well as trigonometry knowledge application. Results: Analytical responses of kinematic spatial movements of horizontal jet thrust and an axial reduction unit with instrument accuracy of a group tractive drive were obtained from vertical engine’s undercarriage frame shifts and locomotives wheelset. Boundary conditions of jet thrust slopes were detected, as well as center lines of axial reduction units. The analysis of established relations was performed. Possible scheme variants of spatial movements of horizontal jet thrust and a wheel set axial reduction unit in engine’s undercarriage frame were presented with possible discrepancies of linear dimensions from production tolerance. Characteristic curves of vertical shifts of actual towline constructions from vertical shifts of undercarriage frame during locomotive’s movement were graphed. Practical importance: On the basis of obtained relations the analysis of linear displacement, angular velocities and accelerations of jet thrusts and wheel set axial reduction units is possible, as well as the generation of rational and robust wheel set cardan tractive gear constructions for locomotives with minimal dynamic load on its elements. The results of analytical research might be applied in the designing of new engines with high dynamic parameters.