Murphy previously had an overall deal with 20th Century Fox to create content for Fox and FX and he will continue to serve as an executive producer on 'Crime Story' and 'Horror Story' besides 'Feud', 'Pose' and '911'.
Rhimes, best known for her long-running shows "Grey's Anatomy" and "Scandal", also left her longtime home at ABC last August, reported Entertainment Weekly.
"Ryan Murphys series have influenced the global cultural zeitgeist, reinvented genres, and changed the course of television history," said Ted Sarandos, chief content officer at Netflix.
According to The New York Times, Murphys deal is said to be worth up to $300 million. By comparison, back in 2010, Murphy signed a four-year contract with 20th that was said to be worth $24 million.
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"The history of this moment is not lost on me. I am a gay kid from Indiana who moved to Hollywood in 1989 with $55 dollars in savings in my pocket, so the fact that my dreams have crystallised and come true in such a major way is emotional and overwhelming to me," Murphy said.
Murphys deal starts July 1, after his current contract expires.
The producer, in January, had said that he was not prepared for the studio's sale to Disney.
"So three months ago, I thought I would literally be buried on the Fox lot. I had my mausoleum picked out and I was just ready to just commit, you know. And it's an emotional group because, you know, I've grown up there. I started working there in my 30s. Many of us have had young children that played together, and so I was very not prepared for what happened," he had said about the deal.