Spufford was married to Professor
Margaret Spufford (née Clark; 1935–2014) who was a British academic and historian. They had two children; a son,
Francis, and a daughter, Bridget, who pre-deceased them; Bridget is well remembered by Bridget's Hostel for disabled students in
Cambridge. Spufford died on 18 November 2017. His funeral was held on 24 November at the Church of St Mary and St Andrew,
Whittlesford,
Cambridgeshire. ==Honours==