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A novel distribution network reconfiguration approach with consideration of the random output power of distributed generation (DG) is proposed in this paper. The method operates by joint use of graph theory and scenario analysis. By generating the switch state graph of distribution network with DG, network reconfiguration is simplified to the optimization problem of network switch state combination. Then probability-based scenario analysis is used to build the optimization model of distribution system with wind turbine. To seek the satisfactory solution, any colony algorithm and circle breaking is employed to obtain the best network reconfiguration scheme under mono-scenario and multi-scenario. The example analysis of a 33-node distribution network illustrates that the method is feasible and it provides a strong motivation for the further development and application of DG.