Drake is "disgusted" that Rolling Stone "took" his magazine cover from him.
The rapper gave an interview to the publication for its latest issue and claims he was due to appear on the front cover.
Following the death of Philip Seymour Hoffman on February 2 they are running with a picture of the late actor.
Drake responded to the decision via a series of angry Twitter messages.
"I never commented on Yeezus for my interview portion of Rolling Stone. They also took my cover from me last minute and ran the issue." he posted.
"I'm disgusted with that. RIP to Phillip Seymour Hoffman. All respect due. But the press is evil.
"I'm done doing interviews for magazines. I just want to give my music to the people. That's the only way my message gets across accurately. (sic)"
The 27-year-old didn't hold back in his interview with the magazine and slammed fellow musician Macklemore.
Macklemore and Ryan Lewis won Best New Artist and three other trophies at last month's Grammy Awards, beating out a host of other artists including Kendrick Lamar.
The Thrift Shop singer took to Instagram to reveal messages he had sent Kendrick, telling him he "got robbed" and should have won the trophies.
"I was like, 'You won. Why are you posting your text message? Just chill. Take your W, and if you feel you didn't deserve it, go get better — make better music,'" Drake vented. "It felt cheap. It didn't feel genuine. Why do that? Why feel guilt? You think those guys would pay homage to you if they won?"