There are many ways to engage members of the public in research and innovation activities. Many policy makers, researchers or administrators are either carrying out public engagement or considering engaging the public in their work around a scientific or technological issue. While engaging society in research and innovation can bring many benefits, it can also be a daunting prospect for those without previous experience. This anthology is designed to help those who are interested in engagement, but do not have much direct experience yet. This Anthology eBook provides a short introduction to engagement in research and innovation. It forms part of Engage2020, an EU funded research project which explores methods and policies across Europe and beyond. It includes: practical examples on why, when and how to engage the public and societal stakeholders in R&I policies and activities; brief descriptions of engagement tools; examples of good practice around different Grand Challenges and policy and research areas; short articles from researchers, practitioners, academics and policy makers sharing their experience and expertise of public engagement.