This paper concentrates on the control of hybrid fuel cell/energy storage distributed generation systems under voltage sag in distribution systems. The proposed control strategy makes hybrid distributed generation system works properly when a voltage disturbance occurs in distribution system and it stays connected to the main grid. To distribute the power between dc power sources and stabilize the dc-link power, a lyapanov based neuro-fuzzy control strategy has been developed. 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.