Norwich also worked for various charitable projects. He was the chairman of the Venice in Peril Fund, honorary chairman of the World Monuments Fund, a member of the General Committee of Save Venice, and a vice-president of the National Association of Decorative and Fine Arts Societies. For many years he was a member of the Executive Committee of the National Trust, and also served on the Board of English National Opera. Norwich was also a patron of SHARE Community, which provides vocational training to disabled people.