Teare was born 1 July 1911, and educated at King William's College on the Isle of Man, and Gonville and Caius College, Cambridge. He trained at St George's Hospital, London from where he qualified in 1936.
Teare began his career as a lecturer in forensic medicine at St Bartholomew's Hospital Medical College. In 1963 he became reader and eventually professor of forensic medicine at Charing Cross Hospital Medical School, a post he held until retirement in 1975. Teare was also a lecturer at the Metropolitan Police College, Hendon, and served as President of the Medical Defence Union. He was also a Fellow of the Royal College of Physicians and of the Royal College of Pathologists. Teare also served as President of the British Association of Forensic Medicine. In 1973, Teare carried out the autopsy on Bruce Lee, as well as Jimi Hendrix's in 1970. Teare also supervised the autopsy of Brian Epstein in 1967.
Professor Teare was called to give evidence in many high-profile criminal investigations, such as the murder of Beryl Evans and her baby Geraldine in the Timothy Evans case. Although Evans was convicted and hanged, three years later the real killer, John Reginald Christie, confessed to the crimes and many others. He was hanged, and after many enquiries, Evans was declared innocent of the crime for which he had been hanged. Teare's accident investigations included the Harrow and Wealdstone rail crash which occurred in 1952 killing 112 people.
Teare retired in 1975 and died 17 January 1979 on the Isle of Man, at the age of 67.
- "British professor testifies: Bruce's death not caused by marijuana". New Straits Times. 20 September 1973.
- Brown, Tony (1997). Jimi Hendrix: The Final Days. Omnibus Press. pp. 158–159. ISBN 978-0-7119-5238-6.
- "Professor David Bowen". Sunday Telegraph. 12 April 2011.
- Report On The Double Collision Which Occurred On 8 October 1952 At Harrow And Wealdstone Station In The London Midland Region British Railways 12 June 1953 available at http://www.railwaysarchive.co.uk/documents/MoT_Harrow001.pdf
- Obituary in The Times, published 19 November 1979
- Mitchel P. Roth, "Historical dictionary of law enforcement", Greenwood Publishing Group, 2001, ISBN 0-313-30560-9, p. 344
- Obituary, British Medical Journal, 3 February 1979 p 354.