This paper proposes a mathematical model describing the tram, trolleybus and electric bus movement technological process; it is presented as a complex process of transformation, transmission and use of electric energy and information in the urban electric transport (UET) electrical complex. This process is manifested as the organization of UET vehicles’ controlled motion during the city passenger transport production and technological tasks implementation. The scientific novelty of the proposed approach lies in the fact that it uses a synergetic description of the properties, organizational and functional principles of the UET complex production and technical system. In this case, the controlled movement can be presented as a multi-level technological process implemented by the vehicle electrical complex. Theoretically, it is proven that such a process features 5 hierarchically arranged levels (subprocesses), each of which solves a separate vehicle movement construction task. The process is based on the implementation of operational algorithms for the vehicle traction electrical equipment. As a result, the study provides a theoretical system of levels used to construct the vehicle movement as a multi-level process. Mathematical models for each level are defined. The sets of conditions for the external and internal order parameters are identified. Structural-functional and hierarchical interlevel relationships are substantiated. The practical significance of the work lies in the possibility to use the results to develop control systems for autonomous vehicles and driver assistance systems.