This report represents the most comprehensive review to date on ocean warming. To build up the report, leading scientists from around the world were invited to join with colleagues to contribute individual chapters. Each has been subject to peer review and tells in the scientist’s own words the scale and nature of changes being driven by ocean warming, often in association with other stressors, such as ocean acidification and deoxygenation. It contains many recommendations from the scientists on capability gaps and research issues that need to be resolved if we are to tackle the impacts of ocean warming with greater confidence in the future. The focus of the report is on gathering facts and knowledge and communicating this to show what is now happening in and to the ocean. There is purposefully much less focus on political ramifications. We hope that this report will help stimulate further debate and action on such issues.