Abstract This study conducts the first systematic literature review of climate change adaptation in aquaculture. We address three specific questions: (i) What is aquaculture adapting to? (ii) How is aquaculture adapting? and (iii) What research gaps need to be addressed? We identify, characterise and examine case studies published between 1990 and 2018 that lie at the intersection of the domains of climate change, adaptation and aquaculture. The main areas of documented climate change impacts relate to extreme events and the general impacts of climate change on the aquaculture sector. Three categories of adaptation to climate change are identified: coping mechanisms at the local level (e.g. water quality management techniques), multilevel adaptive strategies (e.g. changing culture practices) and management approaches (e.g. adaptation planning, community‐based adaptation). We identify four potential areas for future research: research on inland aquaculture adaptation; studies at the household level; whether different groups of aquaculture farmers (e.g. indigenous people) face and adapt differently to climate change; and the use of GIS and remote sensing as cost‐effective tools for developing adaptation strategies and responses. The study brings essential practical and theoretical insights to the aquaculture industry as well as to climate change adaptation research across the globe.