Alba, 24, who has shot to stardom with her films Sin City and Fantastic 4, won the role over actresses Kate Hudson, Lindsay Lohan and Alicia Silverstone.
I Dream of Jeannie will be directed by Guriner Chadha (Bend It Like Beckham).
The next film to hit theatres from Alba will be Into the Blue this fall. The pretty actress stars in the action film with Paul Walker.