In this paper, design of control strategy for hybrid fuel cell/energy storage distributed power generation system during voltage sag has been presented. The proposed control strategy allows hybrid distributed generation system works properly when a voltage disturbance occurs in distribution system and hybrid system stays connected to the main grid. To distribute the power between power sources, a Lyapanov based neuro-fuzzy control strategy has been developed during voltage disturbances. Then, a fuzzy sliding-mode control strategy is presented for designing the controllers DC/DC and DC/AC converters. Simulation results are given to show the overall system performance including active power control and voltage sag ride-through capability of the hybrid distributed generation system.