Aquaculture now produces more seafood than wild capture fisheries and this production is expected to at least double by 2050. Representing almost half of global production, marine aquaculture will contribute to sustainably feeding the growing humanity. However, climate change will undoubtedly challenge the future growth of marine aquaculture. Temperature and sea-level rise, shifts in precipitation, freshening from glacier melt, changing ocean productivity, and circulation patterns, increasing occurrence of extreme climatic events, eutrophication, and ocean acidification are all stressors that will influence marine aquaculture. The objective of this themed article set was to bring together contributions on the broad theme of the potential impacts, adaptation, and mitigation strategies of marine aquaculture to climate change. Here we present 14 papers covering a diverse set of approaches including experimentation, modelling, meta-analysis and review, and disciplines like biology, ecology, economics, and engineering. These articles focus on the impacts of climate change-related stressors on the aquaculture potential itself and on the resulting ecological interactions (e.g. parasitism and predation), on phenotypic plasticity and adaptation potential of species, and on measures to mitigate the effects of climate change on aquaculture and vice versa. Considering this, adaptation of the aquaculture sector relies on anticipating the biogeographical changes in the distribution of species, determining their potential for adaptation and selective breeding for resistance or tolerance to climate-induced stressors, and fostering ecosystem resilience by means of conservation, restoration, or remediation. By will or by force, aquaculture will contribute to the low carbon economy of tomorrow. Aquaculture must move towards a new paradigm where the carbon footprint and the analysis of the life cycle of products are at least as important as economic profitability.