Francis Patrick Kelly, CBE, FRS (born 28 December 1950) is Professor of the Mathematics of Systems at the Statistical Laboratory, University of Cambridge.

In the 1980s, he worked with colleagues in Cambridge and at British Telecom's Research Labs on Dynamic Alternative Routing in telephone networks, which was implemented in BT's main digital telephone network.

He has also worked on the economic theory of pricing to congestion control and fair resource allocation in the internet.

From 2003 to 2006 he served as Chief Scientific Advisor to the United Kingdom Department for Transport.

He was appointed Commander of the Order of the British Empire (CBE) in the 2013 New Year Honours for services to mathematical science.