This study represents the power management of the wind PV based grid connected hybrid system. The hybrid wind PV system is modelled and Maximum power point tracking (MPPT) approaches are discussed to maximize the grid power. Two renewable energy resources increase the power of the overall system and minimize the stress of the standalone system. The external weather conditions are uncertain due to which the single renewable system is not sufficient to generate the required power. The combination of two renewable resources gives better performance by extracting the maximum power. To extract the maximum power the system is necessary to operate on MPPT. In this study, Two MPPT techniques (Perturb and observe (P&O) and Cuckoo search optimisation (CSO)) are employed in the PV system and compared based on their power transfer capability to the grid and efficiency of the system. For the conversion of wind energy, a Doubly fed induction generator (DFIG) is used and vector control strategies is implemented to regulate the power transmission to the grid. To obtain the modelling and power management of the Hybrid system, the MATLAB/ Simulink environment is demonstrated for different stages of solar irradiance at constant low wind speed. The simulated results show the efficiency and effectiveness of the optimisation techniques for the system.