In this paper, a fault-tolerant supervisory controller is proposed for a hybrid ac/dc micro-grid. In the hybrid micro-grid, dc sources, energy storage, and loads are connected to a main dc bus, while the ac sources and sinks are coupled with a main ac bus. A bidirectional converter/inverter exchanges power between both sides. Such structure should be supervised by a main controller or management system. In this approach, the power flow is supervised based on solving an optimization problem, while the maximum available powers for fault-free and erroneous wind, solar, and energy storage sub-systems are taken into account. It is shown that solar and wind sub-system failures affect maximum available powers from those resources. In order to satisfy the demanded power with maximum utilization of renewable resources, the tolerance of the proposed supervisory controller (SC) toward shading and converter faults in the solar system, and lubricant system failure and converter fault in the wind system is considered in the design procedure. Moreover, the tolerance of the proposed power management system toward energy storage failure in each micro-grid is also incorporated in the overall control scheme. Effectiveness of the proposed SC is evaluated through extensive simulation runs based on dynamical models of the power resources.