 National Life Stories conducted an oral history interview (C467/48) with Stamp in 2000 for its Architects Lives' collection, now held by the British Library.Stamp was married to Alexandra Artley from 1982 until 2007.Their daughter Cecilia is a jewellery designer, and their other daughter, Agnes, works for "Country Life".He married his second wife, biographer and critic Rosemary Hill, on 10 April 2014.