After a fault occurs in the distribution network, active distribution network can realize the real-time power supply and demand balance of user side and meet the demand of load recovery after fault. Users' participation in the dispatching of distribution network is also one of the ways to improve the proportion of load recovery. The translational load has strong controllability, which improves the flexibility of active distribution network. The access of new controllable devices, such as soft open point, also makes it possible for power supply quickly. In this paper, a fault recovery model of active distribution network considering translatable load and soft open point is established. The importance coefficient of load is considered. Through the simulation analysis of the modified IEEE 33-node test system, three scenarios of single fault, multi-point fault and short-term fault are built, the effectiveness of the proposed method and the improvement of load recovery after fault by the controllable device are verified.