Smith waxa uu ku dhashay September 25, 1968 Philadelphia, Pennsylvania, waxaana dhalay Caroline (Bright), maamulaha dugsiga Philadelphia, iyo Willard Carroll Smith Sr., oo ah halyeey ciidamada cirka Mareykanka ah iyo injineer qaboojiye. Wuxuu ku soo koray xaafada Wynnefield ee West Philadelphia, waxaana lagu barbaariyay Baabtiiska. Wuxuu leeyahay walaasheed ka weyn oo la yiraahdo Pamela iyo laba walaalo ah oo ka yar, mataano Harry iyo Ellen. Smith wuxuu dhigtay Our Lady of Lourdes, oo ah dugsi hoose oo gaar loo leeyahay oo Katoolik ah oo ku yaal Philadelphia. Waalidiintiisa way kala tageen markii uu ahaa 13, laakiin dhab ahaantii ma aysan furiin ilaa 2000. Smith wuxuu dhigtay Dugsiga Sare ee Overbrook.
Sebtember 25, 1968