Although Indigenous peoples’ perspectives and concerns have not always been accommodated in climate change adaptation research and practice, a burgeoning literature is helping to reframe and decolonise climate adaptation in line with Indigenous peoples’ lived experiences. In this review, we bring together climate adaptation, decolonising and intersectional scholarship to chart the progress that has been made in better analysing and responding to climate change in Indigenous contexts. We identify a wealth of literature helping to decolonise climate adaptation scholarship and praxis by attending to colonial and neo-colonial injustices implicated in Indigenous peoples’ climate vulnerability, taking seriously Indigenous peoples’ relational ontologies, and promoting adaptation that draws on Indigenous capacities and aspirations for self-determination and cultural continuity. Despite calls to interrogate heterogenous experiences of climate change within Indigenous communities, the decolonising climate and adaptation scholarship has made limited advances in this area. We examine the small body of research that takes an intersectional approach to climate adaptation and explores how the multiple subjectivities and identities that Indigenous peoples occupy produce unique vulnerabilities, capacities and encounters with adaptation policy. We suggest the field might be expanded by drawing on related studies from Indigenous development, natural resource management, conservation, feminism, health and food sovereignty. Greater engagement with intersectionality works to drive innovation in decolonising climate adaptation scholarship and practice. It can mitigate the risk of maladaptation, avoid entrenchment of inequitable power dynamics, and ensures that even the most marginal groups within Indigenous communities benefit from adaptation policies and programmes.