2001: Spinoza Prize. 

2004: Louis-Jeantet Prize for Medicine. 

2005: the Science and Society Prize. 

2006: Rabbi Shai Shacknai Memorial Prize for Immunology and Cancer Research. 

2008: Josephine Nefkens Prize for Cancer Research (Erasmus MC, Rotterdam). 

Editorial board member of (a.o): EMBO Journal, EMBO reports, Cell, Gastroenterology.

2009: Dutch Cancer Society Award (Queen Wilhelmina Research Prize)

2012: Dr. A.H. Heineken Prize for Medicine

2012: Appointed Knight of the Order of the Netherlands Lion

2014: Massachusetts General Hospital Award in Cancer Research

2014: Fellow of the AACR Academy

2014: Struyvenberg European Society for Clinical Investigation (ESCI) medal

2014: National Icon of the Netherlands

2015: ISSCR-McEwen Award for Innovation in 2015

2016: Member of the Academie des Sciences de I 'Institut de France

2016: Kazemi Award for Research Excellence in Bio-Medicine

2016: The Körber European Science Prize, Germany

2016: Swammerdam medaille, Amsterdam

2016: The Ilse & Helmut Wachter award, Hamburg, Germany

2016: Royal Netherlands Academy of Arts and Sciences Professor Prize

2017: President of the International Society for Stem Cell Research (ISSCR)

2017: Princess Takamatsu Award of Merit, Tokyo

2017: Großes Verdienstkreuz mit Stern, Germany 

2018: Academia Europaea Erasmus Medal, Barcelona, Spain

2019: Keio Medical Science Prize, Tokyo, Japan

A (nearly) complete list of honours and awards held by Professor Dr Hans Clevers can be found on the Wikipedia page about him.