The frequent occurrence of natural disasters make a serious threat to the reliability and safety of power supply in distribution network. Under the background, the distribution network elasticity improvement technology for the medium and low voltage power system considering user demand response is studied to enhance its fault recovery capability. Firstly, the demand of reliability for user's differentiated power supply and the operation characteristics of demand response is considered, and then an index to measure the resilience of distribution network is established-outage loss. Secondly, a demand response control strategy is proposed on the basis of the power supply priority. In th end, an optimization model of distribution network resilience enhancement considering demand response is developed. The IEEE 33-bus system is simulated to verify the index and the model. It is shown that the optimization model of resilience enhancement can significantly reduce the outage loss in the whole process of resilience restoration in distribution network and improve its resilience under disaster scenarios.