Emergency logistics refers to the transportation, storage, and distribution of materials to ensure the safety of people’s lives and property and social stability in an emergency or disaster. Since the outbreak of COVID-19, the state and society have paid more attention to constructing emergency logistics systems. In recent years, the research on route optimization and location selection of emergency logistics has also increased. The study of emergency logistics location and routing is significant for improving emergency logistics efficiency, optimizing resource allocation, improving emergency response capabilities, and reducing emergency risks. It can provide scientific decision-making support for emergency management departments and logistics enterprises, promote social emergency management level improvement, and ensure the safety of people’s lives and property. This article studies relevant literature on domestic and international emergency logistics routing and location issues in recent years, summarizes the main models and related algorithms to solve this problem, analyzes the current research status in recent years, and looks forward to future research directions.