He was educated at Auckland Grammar School, and then studied medicine at the University of Otago, from where he graduated MB ChB in 1943.
On 21 December 1942, he married Beth Beedie in Dannevirke.In the 1982 New Year Honours Moore was appointed an Officer of the Order of the British Empire for services to otolaryngology and the community, and he was made a Knight Bachelor for services to otolaryngology in the 1992 New Year Honours.Moore died in Auckland on 18 June 2015.
His wife, Beth, Lady Moore, died on 7 August 2017.