Introduction. The combined levitation and traction system (CLTS) with alternating current represents a kind of electrodynamic suspension system in which the traction and levitation force are created by one set of onboard electromagnets, and the lifting force is provided at any speeds of the crew, including the zero speed. The disadvantages of the system are the low energy factor and the complexity of controlling the start-brake regimes. The scope of such a system can be passenger transportation within large cities and urban agglomerations for distances up to 100 km with speeds up to 150-200 km / h. Goal. The aim of the work is the solution of the complex problem of providing CLTS onboard electromagnets with electric power with an increased energy factor and the ability to control all driving regimes. Method (methodology). Mathematical modeling of electromagnetic and electromechanical processes with subsequent evaluation of technical and economic parameters of the CLTS were used. Results. A practically realizable version of the power supply system for the on-board electromagnets CLTS is proposed. Practical significance. The proposed version of the power supply system has significant advantages over previously considered ones: the ability to flexibly control all modes of CLTS traffic with an increased energy factor. Conclusion. The system of power supply of the CLTS with alternating current from the traction network of constant voltage 3 ... 5 kV with placement of autonomous inverters onboard the crew allows to reduce the mass of the on-board electrical equipment by 10-20%, to minimize the consumption of inactive power and to flexibly control all modes of the crew's movement.