Neville was educated at the Central School (now Victor Scott), the Bermuda Technical Institute, and the Cranfield School of Management in the United Kingdom.
His long and successful career in the private sector began at Cable & Wireless as a Trainee Telegraph & Coast Station Operator. He left the company in 1996 after rising to the position of Manager of Human Resources & Administration. In 1998, he joined Colonial Pension Services Ltd as a Pension Consultant, retiring in 2014.
Neville's service to Bermuda spans decades and includes being a member of the Hamilton Rotary Club, the Race Relations Council, the Broadcasting Commission, the Bermuda Council for Drug Free Sports and a former President of the Bermuda Football Association.
Within the PLP, he served as Party Chairman from 2000 to 2004 and as Secretary General from 1998 to 2000. Neville also served as a Government Senator under former Premier the Hon. W. Alexander Scott, from March 2004 to October 2006.
Neville is married to Sheila. They have three children, Teena, Craig and Nekisha.
Neville currently serves as the Minister of Transport, appointed in July 2020.