First introduced in London in 1996, the Cuaba brand was the first new Cuban Cigar brand to be introduced into commercial production since 1968. Historicaly, Cuaba is the Taino Indian word for the special cuban bush used to light the "Cohiba" or "Tobacco" on the Island.

All four of the Cuaba vitoles are in the figurado (perfecto) shape: the Exclusivos, the Generosos, the Tradicionales and the Divinos. This shape was popular until the beginning of the 20th century. Habanos S.A. decided to revive the British tradition of smoking figurados; hence the fitting unveiling of the brand in London, England. Habanos, S.A. has since reintroduced other historic brands and shapes