This article is a systematic review of the literature on the energy efficiency and energy efficient construction of roofs. This paper considers seven types of roof, including insulated, double-skin, cool roofs, green roofs, roofs with photovoltaic panels, biosolar roof and roof ponds. The review covers the main characteristics of each roof, the reduction of heat flux and the appropriate climate for its implementation. These roofs can reduce energy consumption for cooling or heating systems. For the cold period of the year the warmed roof which reduced heat losses of the room to 70% proved to be the most effective. In hot climates the cool roof is the simplest covering, which reduces the flow of solar radiation into the room by 30%. The installation of a double-skin roof or a pond on the roof stabilizes the temperature in the room on hot days. Green roofs in hot climates can reduce the heat of solar radiation through the roof to 35%, and the presence of photovoltaic panels on the green roof can increase their efficiency by 8.3%. To increase the energy efficiency of the roof, it is advisable to combine several types of roofs.