The invention relates to a black-start method and apparatus of a power grid. The black-start method of a power grid includes the steps: utilizing a cell energy storage power station in a fault area to determine a black-start power supply in the fault area; and controlling the control mode of the black-start power supply, and starting a set which is started preferentially. The technical scheme provided by the black-start method and apparatus of a power grid utilizes the cell energy storage system to make a black-start scheme, and overcomes the defect that self excitation and long power transmission time easily occur in a traditional black-start scheme so as to conform to the development trend of high capacity and large scale of energy storage of cell.