Originally they were designed to inform mitigation policy, but some are now applied in the context of adaptation policy as well. This chapter reviews the modelling of climate impacts and adaptation in global IAMs, including both models with an economic focus and those with a science focus. Key advances in the representation of climate impacts in IAMs during the last decade include improved consideration of differences in impacts across regions, the development of nonmonetary reduced-form models and coupling global IAMs with regional and sectoral impact models to assess climate change together with other sustainability issues.