This report analyses policies and research funding mechanisms designed to foster high-risk high-reward (HRHR) research, and explores promising practices for fostering HRHR research in a variety of contexts. The underlying concern is that failure to encourage and support research on risky, ‘out-of-the-box’ ideas may jeopardise a country’s longer-term ability to compete economically, harness science for solving national and global challenges, and contribute to the progress of science as a whole. The analysis in this paper is primarily based on a survey of individual HRHR research funding schemes in different countries, complemented by targeted interviews. This survey was supplemented by an analysis of HRHR research-oriented programmes and by the feedback from an international workshop that included all relevant stakeholders.