The photo may come as a surprise to some, since Anna Wintour has publicly spoken unfavorably about Kardashian.
Last year, Wintour referred to Kardashian as "the worst thing since socks and sandals."
But West has been very outspoken over the last few months about wanting his fiancée on the cover of the magazine.
And there's a really cute video of Kim, Kanye, and their daughter North on Vogue.com.
View this video on YouTube
Kim is, understandably, very excited.
This is such a dream come true!!! Thank you @VogueMagazine for this cover! O M GGGGGG!!! I can't even breath! http://t.co/0pCAs27GLl