In this paper, the influence of rebound effect in a process of implementation measures for energy consumption reduction is considered. Intuitevly it seems obvious that increasing energy efficiency will ultimately reduce demand for energy resources, and therefore will reduce energy consumption and greenhouse gasses emission. However, the practice shows that the real savings in energy consumption are far less than expected. The main reason for that lies in the appearance of rebound effect. In this paper, the rebound effect is defined, its importance through exemplary cases is shown, and possible solutions for this problem are sugested.