The Centre for Science and Policy's Horn Fellowship, launched in 2014, is named in honour of the late Professor Sir Gabriel Horn, a pioneer in the study of the neurological basis of thought and – as former chair of the Cambridge University Government Policy Programme – a moving force behind the University’s engagement with public policy.

The Horn Fellowship is a small group of supporters who are committed to the Centre's mission to help public policy-making address the major challenges of the 21st century through drawing more effectively on the best research, evidence and expertise. The Horn Fellows, who come with a background of success in the field of finance and a record of intellectual curiosity and commitment to scholarship, visit Cambridge each year for a series of meetings with leading academics. The objective of these meetings is to introduce the Horn Fellows to current research, and identifying areas of common interest and opportunities for future collaboration and engagement.

The Fellowship convened for the first time in Michaelmas Term 2014 under the chairmanship of Professor Frank Kelly, with discussions focussing on developing a shared understanding of the role of networks in public policy. The topics of recent meetings have included the science and societal implications of machine learning, human genetics, climate change and ageing.

The current President of the Horn Fellowship is Ian Hall who succeeded the inaugural President, Dr Lev Mikheev, in 2023.