This chapter introduces Hannah Arendt’s perspective on action and storytelling as relevant for the understanding of storytelling as organizing beyond organizational boundaries. A theoretical framework combining Arendt’s concepts with David Boje’s future-oriented approach to storytelling and Barbara Czarniawska’s approach to organizing as the institutionalization of action nets is used to analyze how Closing the Gap, a story from the World Health Organization, was used during the development of a strategy for social sustainability in the city of Malmö. The story enacts or suggests different organizing logics and principles when told in different contexts. The implications concern the politics of social sustainability when framed as questions of public health and when using Arendtian concepts for studying storytelling as organizing.