The 34-year-old star shared a photograph of the magazine's front page on Instagram.
She also tagged the photographer, Theo Wenner, to show her appreciation.
In the cover shot, Kim looks radiant and fresh without contouring, long lashes and other make-up products she usually applies on her face.
She sports a brown sweater while showing off a huge diamond engagement band on her left hand and staring directly at the camera.
In an image for the inside spread shared on the magazine's website, Kim is seen lying down on an emerald couch with her legs curled up.