The actresses wowed in a striking slew of images shot by Tim Walker and Adama Jalloh for the fashion bible’s December issue, which celebrates Great Britain: Tradition & Revolution.
Killing Eve star Jodie, 30, looked elegant in a cream satin gown, while sporting a glam makeup look with a bold red lip.
She also appeared to have taken inspiration from the pop icon’s 1980s perm as she wore her blonde curls piled up on top of her head.
Meanwhile Olivia, 49, turned heads in an eye-catching pink coat and a quirky yellow head piece, teamed with a white dress and long gloves.
The upcoming issue celebrates Great Britain: Tradition & Revolution, showcasing some of the most captivating forces across fashion, culture, politics and society.
Other stars to appear on the digital covers include Kate Moss, Lila Moss, Stormzy, Lil Simz and Tilda Swinton.
In addition to six print covers, designer Katharine Hamnett features on British Vogue’s digital cover alongside activists Liv Simpliciano, Anjali Raman-Middleton, Joycelyn Longdon, Dominique Palmer, Kalpana Arias and Catherine Chong.
The group were photographed wearing a ‘Vote’ tee, debuting for the first time in Vogue, with a QR code leading directly to the government’s voter registration page.
They are joined by Kristen McMenamy, Eddy Earl, Liv Simpliciano, Anjali Raman-Middleton, Joycelyn Longdon, Dominique Palmer, Kalpana Arias, Catherine Chong, Kae Tempest, Vanessa Redgrave, Isaac Julien, and Celia and Lucas Chancellor.
After Jodie’s incredible sell-out on Broadway, the star is back in the UK after her one-woman show, which received rave reviews.
The British actress took on the role of Tessa who is a young and ambitious lawyer and represents people accused of sexual assault.
But her character ends up going through the legal system as a victim of rape – after she is assaulted herself, and begins to question her world.
Last year, Jodie has won an Olivier award after the show’s run at t he Harold Pinter Theatre on the West End, and she has also received two BAFTA TV Awards, a Primetime Emmy Award and a Tony Award.
The actress began her career in 2008, but truly rose to fame when she debut in the spy thriller Killing Eve, where she plays the role of Villanelle – a psychopathic Russian assassin who develops an obsession with Eve Polastri.
Earlier in June, Jodie cut back tears as she scooped Best Lead Actress in a Play for her one-woman show Prima Facie at the 76th ceremony held at the United Palace in New York City .
And sadly this year it was Jodie who felt the brunt of it as presenter Marcia Gay Harden accidentally called her ‘Julie Comer’ when announcing the winner.
Marcia quickly corrected herself and told the audience: ‘I don’t have my glasses on!’
The mishap didn’t effect the actress though who was too overwhelmed by the honour of receiving such a prestigious award.
Taking to Instagram a few days after the event she posted a picture of herself beaming as she held the award as well as a sweet snap of her and her brother embracing as her name was called.
She captioned the snap: ‘I still cant find the words, so ill just post the pictures. I love you Bro.’
Prima Facie has made its Broadway debut this spring at The Golden Theatre after critical acclaim in the West End.
It was revealed last week that the show has already recouped its $4.1million Broadway capitalization costs just ten weeks after the performances began.
The one-woman play grossed $1.1million in sales at the Golden Theatre in June, breaking the previous house box office record.
See the full features in the December issue of British Vogue, available via digital download and on newsstands from Tuesday 21 November.