Considering the perturbations of extreme events on integrated transportation-power energy systems (ITPES), this paper proposes a planning of Mobile Energy Storage (MES) for resilient distribution networks that incorporates the uncertainties associated with traffic disruptions. Firstly, Monte Carlo simulations are executed, predicated on the failure rates of the ITPES’s lines during extreme events, to discern the typical failure scenario. These scenarios exhibit a heightened likelihood of traffic and energy disruptions for systemic analysis. Then, with the impact of ITPES after extreme events, this paper establishes a configuration model for MES considering the damage to distribution and transportation lines. The objective function is formulated to maximize the recovery of critical loads and minimize the user loss cost to obtain the configuration nodes of MES. Finally, two methods were designed as comparison strategies and the simulation results of the IEEE 33-bus network validate the effectiveness in enhancing the load recovery rate of resilient power grid.