To address the problem of fault recovery of distribution networks in extreme weather, a strategy is proposed of using the flexibility of a mobile energy storage system (MESS) to actively participate in the suppression of loop closing impulse currents. This assists in the fault recovery of distribution network by considering the spatial and temporal evolution characteristics of extreme weather hazards. First, a statistical model is developed for the failure rate of distribution lines in different weathers, such as severe wind and rain storms. Second, complex transportation networks are coupled with the distribution networks, and an upper-level pre-dispatch model is established to minimize the spatial-temporal cost of MESS scheduling. Then, the influence of the MESS output power on impulse current is analyzed, and the lower-layer scheduling model of the MESS participating in network reconfiguration is constructed with the objectives of suppressing the loop closing impulse current, maximizing the load restoration rate, and minimizing the MESS scheduling cost. Finally, the modified IEEE 123-node system is adopted to verify the effectiveness of the MESS in improving the security of distribution network fault recovery. The results show that using the MESS to actively participate in scheduling can effectively cope with the dynamic fault recovery problem of a distribution network caused by extreme hazardous weather movement, and suppress the current fluctuation in the process of loop closing, enhance the feasibility of the network reconfiguration scheme, and strengthen the resilience of the network.