| 1978 |
Maxwell Medal and Prize of the Institute of Physics. |
| 1982 |
Elected to the Royal Society of London. |
| 1983 |
Elected Fellow of the Royal Society of Arts. |
| 1983 |
Elected Fellow of the Royal Institution. |
| 1986 |
Elected Member of the Royal Society of Sciences, Uppsala. |
| 1989 |
Elected member of the European Academy |
| 1990 |
Julius Edgar Lilienfeld prize of the American Physical Society |
| 1990 |
Paul Dirac Medal and prize of the Institute of Physics |
| 1990 |
Elected to Indian Academy of Sciences |
| 1990 |
Royal Medal of the Royal Society |
| 1993 |
Naylor Prize, London Mathematical Society |
| 1994 |
Louis-Vuitton Moët-Hennessey 'Science for Art' prize (Paris) |
| 1995 |
Hewlett-Packard Europhysics Prize |
| 1995 |
Elected Foreign Member of the National Academy of Science of the USA |
| 1995 |
Elected Member of the London Mathematical Society |
| 1996 |
Dirac Medal and Prize of the International Centre for Theoretical Physics, Trieste. |
| 1996 |
Knight Bachelor Queen's Birthday Honours, 15 June |
| 1997 |
Kapitsa Medal of the Russian Academy of Sciences |
| 1998 |
Wolf Prize in Physics |
| 1998 |
Elected a Governor of the Weizmann Institute |
| 1999 |
Honorary Fellow, Institute of Physics |
| 2000 |
Elected Foreign Member of Royal Netherlands Academy of Arts and Sciences |
| 2000 |
Ig Nobel prize in physics |
| 2001 |
Onsager Medal (Norwegian Technical University, Trondheim) |
| 2002 |
2002 Novartis/Daily Telegraph 'Visions of Science' competition, 1st prize (Science as Art), 3rd prize (Science Concepts) |
| 2005 |
Elected to Royal Society of Edinburgh |
| 2005 |
Polya Prize, London Mathematical Society |
| 2005 |
Chancellor's Medal, University of Bristol |
| 2010 |
Elected first Honorary Member of the Mexican Mathematical Society |
| 2012 |
Distinguished Visiting Professor, Marymount University, Virginia |
Professor Sir Michael Berry 