The Paul Martini Prize, Martini Foundation, Gottingen University, Germany, 1977.
The Peter Debye Prize, University of Maastricht, The Netherlands, 1981.
Honorary MRCP, Royal College of Physicians, London, 1986.
King Faisal International Prize for Medicine, King Faisal Foundation, 1988.
Gold Medal, British Society for Haematology, 1999.
The Jose Carreras Award, European Haematology Association, 2001.
Fellow, The Royal Society, 2003.
Fellow, European Academy of Cancer Sciences, 2009.
The 29th Myron Karon Memorial Lectureship Award, Children's Hospital, Los Angeles, 2009.
The American Society of Hematology Ham-Wasserman Lecture Award, American Society of Hematology, 2009.
Lifetime Achievement Merit Award, Leukaemia & Lymphoma Research (UK), 2010.
Honorary Fellow, Clinical Genetics Society, 2013.
Fellow, The Academy of Medical Sciences, 1999.
Member, European Molecular Biology Organization, 1978.
Personal Chair of Cell Biology, University of London, 1985.
Gordon Bloom Distinguished Visiting Professorship, Harvard University Medical School, Boston, 2002.
American Society of Clinical oncology (ASCO) Pediatric Oncology Lectureship, American Society of Clinical Oncology (ASCO), 2003.
The First Herman Van den Berghe Invitation Chair, University of Leuven, Belgium, 2011.
Cancer Research UK Lifetime Achievement in Cancer Research Prize, Cancer Research UK, 2015.
2017 Royal Medal, The Royal Society, 2017.
Society of Memorial Sloan Kettering Prize, , 2018.
Knighthood, HM The Queen, 2019 New Year's Honours.
Fellow of the AACR Academy, American Association for Cancer Research, 2019.