Vogue also posted a behind-the-scenes video of the couple's romantic photoshoot -- including footage of their adorable daughter North West -- set to Kanye's Bound 2.
The surprising move comes after months of speculation if the controversial reality star would indeed be granted a cover of the legendary high-fashion magazine. Vogue editor-in-chief Anna Wintour took to her April 2014 Editor's Letter to address the rumors.
"As for the cover, my opinion is that it is both charming and touching, and it was, I should add, entirely our idea to do it; you may have read that Kanye begged me to put his fiancée on Vogue's cover. He did nothing of the sort," she writes. "The gossip might make better reading, but the simple fact of the matter is that it isn't true."
"Part of the pleasure of editing Vogue, one that lies in a long tradition of this magazine, is being able to feature those who define the culture at any given moment, who stir things up, whose presence in the world shapes the way it looks and influences the way we see it. I think we can all agree on the fact that that role is currently being played by Kim and Kanye to a T. (Or perhaps that should be to a K?)," she adds.