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After black-start(BS) generator restarts successfully during system restoration process, it is a primary task to provide cranking power to non-black-start(NBS) generators.A two-step optimal generator start-up sequence method for power system restoration is proposed in this paper.In step Ⅰ, the generator which is easiest to restart is selected as the first generator for safe restoration.In step Ⅱ, a multi-objective optimization model which has a primary objective and two secondary objectives is built with consideration of the influence of restoration paths.A neighborhood is designed by the neighborhood search method to ensure the quality of solutions according to the solution of the primary objective.DE-EDA is applied to search pareto optimal solutions in the designed neighborhood.Simulation results of a practical power system demonstrate the two-step method can take less time to determine several pareto optimal generator sequences and corresponding restoration paths and has potential to be used to guide restoration process in real time.