The article analyzes the structure of energy resources, as a result of which the reasons for their irrational use in the Ukrainian economy are revealed. It has been established that during 2014–2018 there was a decrease in demand for traditional types of fuel and energy resources (FER), except for coal. The components of the process of supply and consumption of fuel and energy resources have been formed and detailed, and an integrated approach to their rational use has been developed, which will reduce the loss of energy resources and increase their efficiency. The author’s approach is used in the form of visualized schemes for organizing the process of the rational use of energy resources, which will contribute to the implementation of an effective energy saving policy of the state, ensuring the competitive advantages of domestic enterprises, increasing their competitiveness, improving the economic and energy security of Ukraine. The expediency of constructing deterministic economic models for providing the Ukrainian economy according to different (adaptive and multiplicative) convolutions was substantiated and proved, on the basis of which a forecast and assessment of the energy independence of the Ukrainian economy until 2035, taking into account fuel and energy resources, was proposed. Based on the calculations, it was established that the state of energy independence of Ukraine is insufficient.