For archaeology to address adequately the global challenges of climate change, it needs to resolve the Climate Heritage Paradox which consists of two contradictions. Firstly, in contemporary society, when humanity anticipates and prepares for climate change and associated transformations, archaeological and other cultural heritage predominantly look backward and emphasize continuities. Secondly, when humanity on Earth needs panhuman solidarity, trust, and collaboration to be able to face enormous global challenges together, archaeological and other forms of cultural heritage are still managed and interpreted within frameworks of national governance. There is, therefore, a need for developing new understandings of cultural heritage that (a) are predominantly about stories of change and transformation rather than continuity and spatial belonging, and (b) express a need for humanity to collaborate globally and overcome national boundaries. This will protect and enhance the benefits of archaeology and cultural heritage in the age of climate change.