He studied economics at [[St John's College, Cambridge]].<ref>{{cite web|website=St John's College, University of Cambridge|title=Fighting the good fight: Professor David Green (1970)|url=https://johnian.joh.cam.ac.uk/news/fighting-the-good-fight-professor-david-green-1970/|access-date=9 September 2024}}</ref>
He has as been Vice-Chancellor of the [[University of Worcester]] since 2003.<ref>{{cite web |title=Professor David Green CBE - University Of Worcester |url=https://www.worcester.ac.uk/about/university-information/who-we-are/whos-who-at-the-university-of-worcester/professor-david-green/ |website=www.worcester.ac.uk |access-date=12 September 2021}}</ref> In 2018, he was appointed a CBE for services to higher education.<ref>{{cite news |last1=Merrifield |first1=Ryan |title=University boss included in New Year's Honours List |url=https://www.worcesternews.co.uk/news/17324175.university-boss-professor-david-green-included-new-years-honours-list/ |newspaper=Worcester News |access-date=12 September 2021 |language=en}}</ref> He has been Deputy Lieutenant of Worcestershire since 2021.<ref>{{cite web |url=http://www.worcestershirelieutenancy.org.uk/info/11/vice_lord-lieutenant_and_deputy_lieutenants |title=Vice Lord-Lieutenant and Deputy Lieutenants |accessdate=13 September 2021}}</ref> David Green was born to Mino Green and Diana (née Allen).<ref>{{Cite web |last=Alderman |first=Geoffrey |date=2022-12-29 |title=Obituary: Mino Green |url=https://www.thejc.com/news/obituary-mino-green-fyyovgud |access-date=2024-05-09 |website=www.thejc.com |language=en}}</ref>
