The front of the upcoming April (14) edition of the publication, which was released online on Friday (21Mar14), features the reality Tv star in what appears to be a cream-coloured strapless wedding dress, with her rapper fiance hugging her from behind.
Under the headline "Kim & Kanye", the tag line reads, "Their fashionable life and surreal times. #WorldsMostTalkedAboutCouple".
The images were snapped by famed photographer Annie Leibovitz and, in a behind-the-scenes video of the shoot, the new mum is featured holding her baby girl North as she lounges on a sofa in another stunning white gown, while proud dad West is also filmed holding his daughter while seated on a private jet.
Taking to Twitter.com to gush about the honour, Kardashian writes, "This is such a dream come true!!! Thank you @VogueMagazine for this cover! O M Gggggg (oh my god) (sic)!!! I can't even breathe!"
It is not clear if little North, who was shown wearing a white outfit in the behind-the-scenes clips, is actually included in the photos in the pages of Vogue, but if she is, it will mark the tot's photoshoot debut.
Kardashian has only previously shared images of North on her Instagram.com page.
The happy couple is reportedly set to wed in Paris, France in May (14).