She is seen in teal cropped culottes with yellow braces, as well as a striped jumper and long trench coat.
The Broadchurch and Trust Me star has begun filming as the 13th Time Lord.
Whittaker, the first female Doctor, takes over from Peter Capaldi and will make her debut on screen when the Doctor regenerates in the Christmas special on BBC One.
Her look is completed with brown boots, blue and turquoise striped socks and some unusual earrings, at the top and bottom of her left ear.
The Tardis can be seen in the background of the image
Fans have already started dissecting the look - which also features a rainbow-stripe trim to the pale-colored coat.
And some have worn on another sci-fi program - Mork and Mindy.
And another said they approved of the look as a whole - but wondered where her tie was.
There appear to be references to previous incarnations of the Time Lord in the outfit.
The new Doctor is not the first to wear brick Matt Smith.
And the stripes on the jumper could be seen on the striped scarf won by Tom Baker's Doctor.
It's not gone unnoticed by fans with one saying it "has great elements from previous Doctors" .
Whittaker will be joined by Mandip Gill, Bradley Walsh and Tosin Cole
When her casting was announced in July Whittaker said it felt "overwhelming, as a feminist" to have the role.
She told fans not to be "scared" by her gender.
She said: "It is more than an honor to play the Doctor. "
In a trailer that was released at the time, Whittaker was seen in a dark hood and long gray coat - but said that would be his official Doctor Who outfit.
She will be joined in the cast by Bradley Walsh, Tosin Cole, Mandip Gill and Sharon D Clarke.
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