Murray was the chairman of Glencore from 2011 to 2013. He later became chairman of Gulf Keystone Petroleum from 2013 to 2015. He has served on boards and held advisory positions with a number of other large companies, including Vodafone, Tommy Hilfiger Corporation, Vivendi Universal, Usinor SA, Hermes, General Electric (USA), China National Offshore Oil Corporation (CNOOC), Macquarie Bank, N.M. Rothschild, and Bain (the consultancy company). He continues to serve on the advisory board of Lightbridge Corporation (USA), and was on the Development Advisory Board of Imperial College, London.