This paper addresses the modeling, design and optimization of a photovoltaic/wind turbine/batteries system. Tests are made within the area of Bejaia (Algeria), where the solar and wind energies are very exploitable due to its geographical location. The design of the studied system uses the total incident energy approach to determine the size of the photovoltaic and wind generators. The different sources are connected by converters to the DC bus, which optimizes the operation of maximization whatever the weather conditions. The strategy optimization of the PV system is made by three MPPT methods (Pertub & Observ (P&O), Incremental & conductance (INCcond) and fuzzy logic controller (FLC). As for the wind turbine, three MPPT methods have been investigated (Optimal torque control (OTC), Gradient Method (GM) and Fuzzy logic controller (FLC). Following the comparisons of the power, efficiency and response time, the method presenting the best performances is incorporated in the studied system. The simulation is built using Matlab/Simulink. The results obtained during four days of each season (summer, autumn, winter, and spring) are shown and discussed to demonstrate the applicability of the suggested system. To control the water pumping hybrid system, a power control is proposed.