The frequent occurrence of extreme meteorological disasters in urban areas during winter poses great impacts on the secure operation of regional energy infrastructures, leading to cascading failures and load losses in integrated energy systems (IESs). To enhance IES’s capacity to cope with extremely cold disasters, we analyze emergency response strategies in the post-disaster period and establish a top–down and bottom–up restoration model. For the top–down strategy, automatic control of the unit and network topology and human resource deployments are considered. For the bottom–up strategy, the energy consumption patterns are adjusted by the users. Post-disaster restoration greatly improves the working performance of the IES in the event of weather disasters by leveraging these two types of strategies and the complementary characteristic between heat and electrical energy. The entire post-disaster recovery process is modeled as a mixed-whole linear program, which can be solved quickly offline. It is tested on an IES with 9 electrical nodes and 32 heat nodes. The results demonstrate that the proposed model is effective and efficient.