Abstract: In order to improve the performance of the power restoration method and better deal with the situation of the continuously expanding scale, increasingly complex structure, and more flexible operation modes of the smart distribution network, this paper proposes a distributed power restoration method for smart distribution network with soft open point（SOP）.First, based on the distributed topological information and electrical quantity information of the power grids, this paper adopts a step-by-step Thevenin’s equivalence calculation method to calculate the electrical quantity constraints of each bus in the power restoration process, which can better adapt to the working characteristics that SOP could continuously adjust the output in the process of power restoration. Then the control principle and working characteristics of SOP are analyzed, especially the control strategy and output adjustment characteristics in the process of distributed power restoration. And this paper proposes a distributed calculation method for electrical parameters in power restoration based on the step-by-step Thevenin’s equivalence of distribution network, giving full play to the support role of SOP in power restoration, and further improving the level of power restoration.Finally, the effectiveness of the proposed method is verified by IEEE 33-bus and IEEE 69-bus systems.