The integration of distributed generation and intelligent soft open points into the distribution network has led to significant changes in its form and characteristics, gradually evolving into an active distribution network. Improving the load recovery rate in the power outage area through island partitioning is a crucial aspect of enhancing the reliability of active distribution networks during the fault recovery stage. Therefore, a fault recovery method is proposed for active distribution networks, which combines three-terminal intelligent soft open points with island partitioning. Firstly, a time-series island partitioning model based on the power supply capacity of distributed generation is established, considering the combination scheme of adjacent islands. Then, the impact of the access of intelligent soft open points on the fault recovery of active distribution networks and the influence of different access positions of three-terminal intelligent soft open points are analyzed. Through second-order cone transformation, the nonlinear problem difficult to solve is converted into a standard second-order cone model and solved. Finally, an improved IEEE 33-node active distribution network is used for analysis to verify the effectiveness of the proposed method.