The mother-of-one had previously worked with Lindbergh for her 2017 cover story with Vanity Fair.
She told the publication at the time that she was "thrilled to work with Peter because he rarely retouches and he believes in such little makeup."
"I gave him a big hug and said, 'I am so excited to work with you because I know we will finally be able to see my freckles!'" the 37-year-old added.
Meghan’s British Vogue issue focuses on women who have the power to change the world.
The cover features 15 women, including New Zealand Prime Minister Jacinda Ardern.
The former Suits actress has shared several updates on social media.
Taking to @SussexRoyal's Instagram account that has 9.2 million followers the video shows the 15 game-changing women across fashion, film, tech and so much more, which the Duchess handpicked.
The clip also shows Meghan with her arm around British Vogue editor Edward Enninful, showing how close the two became.
The video was captioned: "A sneak peek of the #ForcesForChange video for the September Issue of British Vogue. Her Royal Highness, The Duchess of Sussex is the first guest editor for British Vogue’s September Issue and for the last seven months has worked to create an issue of inclusivity and inspiration, focusing on what connects us rather than what divides us.
"Fifteen women were chosen for the cover including New Zealand Prime Minister Jacinda Ardern, who generously lent her time to support The Duchess in this important issue. The women first met last autumn during Their Royal Highness’ official tour of New Zealand.
"PM Ardern says: 'One change that I’ve noticed over the course of my career, is just how polarised the world is now. I do think there is a solution to that though, and that’s ultimately us coming back to the humanity that we all share.'
"Thank you PM Ardern for being an amazing force for change."
The caption also promised that there would be more updates during the week and we simply cannot wait!
WATCH: MEGHAN ATTENDS THE POLO WITH BABY ARCHIE