The singer, who today (July 10) put out his album a week ahead of its scheduled release date, has charged to number one on the tally hours after going on sale.
The 17-track collection includes collaborations with Andre 3000, John Mayer and Ocean's Odd Future bandmate Earl Sweatshirt.
The album is also available to stream via Ocean's official tumblr blog, while a physical release date has yet to be announced.
Ocean brought forward the release of his debut LP after opening up about his sexuality last week, where he admitted that his first love was a man.
Beyoncé, Professor Green and Busta Rhymes have spoken out in support of the singer's statement, calling him "fearless" and an "inspiration".
Watch the music video for Frank Ocean's latest single 'Thinkin Bout You' below: