Increased attention has lately been given to, first, social vulnerability reduction and, second, critical infrastructure management in the context of natural hazards and disasters. However, strikingly little efforts have been made in linking the two in a coherent manner conceptually and practically. Addressing this gap is the objective of this paper. In its first part, it provides a structured review on achievements and remaining gaps in the management of critical infrastructure and the understanding of social vulnerability towards failures during and after disasters. Special attention is given to the current state of minimum supply concepts. In its second part, the paper then responds to the identified gaps by developing a novel conceptual framework on the linkages of critical infrastructure management, social vulnerability and minimum supply. The framework is meant to guide future research as well as policy making and practical action. It facilitates and guides the conceptualization of (i) causal relationships between these three components, (ii) the assessment of system states in each component and (iii) the normative and political choices that need to be made explicit and tackled for turning the concept into policy and action. The paper closes by sketching out recommendations for a future research and practice agenda to close the detected gaps.