"The Doctor is an alien from the planet Gallifrey and it has been established in the show that Time Lords can switch gender," the broadcaster added.
"As the Controller of BBC Drama has said, Jodie is not just a talented actor but she has a bold and brilliant vision for her Doctor. She aced it in her audition both technically and with the powerful female life force she brings to the role. She is destined to be an utterly iconic Doctor.
"We hope viewers will enjoy what we have in store for the continuation of the story."
Whittaker will be the 13th Time Lord and take over from Peter Capaldi, who leaves the global hit show at Christmas after holding the role since 2013.