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In these present days, the electricity consumption of buildings represents 43% of the total energy produced by fossil fuels in Algeria. This issue could be greatly reduced by using renewable energy to generate the required electricity. However, a bigger challenge facing electricity coming from renewable energy systems are the irregular existence of these sources, as well as the issues of storage and transport. In order to solve these problems, this paper proposes a model of an efficient hybrid system consisting of photovoltaic panels (PV), wind turbines (WT) and fuel cell (FC) elements which will be able to meet the demand for a typical off-grid house located in the Adrar region (Algeria) in a sustainable way. The mathematical model used considers the sub-models of each component of this hybrid system, the reliability criteria. Afterward, the optimal configuration is determined on the basis of the minimum total annual cost TAC. The results of the optimization suggest that, relative to hybrid PV/FC or WT/FC, a PV /WT/FC configuration is more economically feasible for the Adrar site (Algeria).