The article analyzes the current state of the Russian heat power engineering and identifies the main problems in its economic development. From the position of an integrated approach, the problems of the Russian heat supply system are divided into three categories: technological, economic and social. The using electricity for the needs of heat supply is determined as an effective way of solution these problems. In this context the electric heat supply is offered as an alternative to the modern heat supply system. The article identifies the main factors of electric heating, showing its economic advantages over other types of heat supply systems. On this basis the authors justify the prospects of electric heating system from the point of view of economic development of the Fuel Energy Complex and the national economy as a whole.