Smith akaberekwa Sadie Smith muWillesden kuchamhembe kwakadziva kumadokero kweLondon Borough yeBrent kuna amai veJamaican, Yvonne Bailey, uye baba veChirungu, Harvey Smith. Pazera remakore gumi nemana, akachinja zita rake kuti Zadie. Amai vaSmith vakakurira muJamaica, uye vakatamira kuEngland muna 1969. Vabereki vaSmith vakarambana paakanga achiri kuyaruka. Ane hanzvadzi yehafu, hama yehafu, uye vakoma vaviri vadiki (mumwe ari rapper uye anomira-up comedian Doc Brown, uye mumwe ari rapper Sky Lucz). Semwana, Smith aifarira kutamba tap, uye mumakore ake ekuyaruka, akafunga basa mumhanzi.
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