In order to adapt to the actual situation of power distribution system fault recovery with micro-grid, a recovery strategy for micro-grid to operate on island with important system load at first under fault conditions is hereby studied. Due to the weak overload capacity, large fluctuation and obvious influence of weather and time period of renewable energy in micro-grid, the dynamic changes of distribution generation and loads in non-fault power loss areas should be considered as much as possible when generating islands. According to historical data, the daily random fitting functions of photovoltaic power generation, fans and various loads are respectively generated by using respective optimization models. For judging the start and duration of the fault, using the fitting function to set the fitting power value of each unit in the distribution system and other information, and calculating the dynamic importance information of each load node as the heuristic condition for subsequent island search. The search strategy in this paper is to guide the load added to the island according to the dynamic importance of the load, and to analyze the reliability of island operation. This method controls the direction of island search, and gives priority to ensuring the recovery of important loads. At the same time, it can ensure the balance between the stability of island generation and the maximum utilization of renewable energy.