On his retirement as Governor in 2000 he established in Perth, a not for profit strategic research institute – Future Directions International (FDI) – whose objective is to examine longer term issues facing Australia. On 20 December 2000 he was awarded an Honorary Doctorate of Technology by Curtin University.
On 11 August 2003 he was sworn in as the twenty-fourth Governor-General of the Commonwealth of Australia, serving in that capacity until 5 September 2008.
Upon his retirement as Governor-General, he accepted Chairmanship of FDI, Outcomes Australia and Soils for Life, along with patronages of a number of other not-for-profit organisations.
Major General Jeffery is a Companion of the Order of Logohu (PNG), a Knight of St John, a Citizen of Western Australia, a Paul Harris Fellow and an honorary life member of the Returned and Services League.
He and his wife Marlena have four children and ten grandchildren. General Jeffery enjoys golf, cricket, fishing, reading and music.