Last month, the show’s cast appeared in a televised reunion special to discuss their time on The Fresh Prince.
Smith stars in The Fresh Prince as Will, a street-smart teenager who moves to live with his wealthy uncle and aunt in their Bel-Air mansion.
Announcing the news, BBC iPlayer controller Dan McGolpin said: “The Fresh Prince of Bel-Air and its all-star cast will amuse and entertain a new generation through BBC iPlayer and there is an opportunity to re-indulge for those who enjoyed the series on BBC screens the first time around.”
The cast included the late James Avery, Janet Hubert, Alfonso Ribeiro, Karyn Parsons, Tatyana M Ali and Daphne Reid.