A reasonable comprehensive evaluation of distribution network resilience can reflect the ability of distribution network to restore power supplies when random faults occur, which is also helpful to diagnose the performances of different countermeasures for a higher resilience and lower losses. According to the mutual impacts by network nodes under different random faults, one comprehensive evaluation method for the resilience of active distribution networks (ADN) is presented to handle such an uncertainty. Firstly, three resilience indexes: fault recovery time, outrage time and energy loss percentage is established to comprehensively evaluate the resilience of node. Aiming at quantitatively rating the interactive influences of nodes caused by the network connectivity and distribution energy resource (DER) location in a fault event, this paper retains the data information characteristics of multiple random fault resilience, and proposes a node weight calculation method, to comprehensively evaluate the overall resilience of ADN. In a case study, IEEE 33 bus model is taken as an example medium voltage distribution network, and Monte Carlo simulation is used to simulate random faults in that system. From the results, the proposed method can reflect the improvement of resilience after the implementation of different countermeasures, thus the effectiveness of this method can be verified.