The new agreement, which begins in 2016, also includes movies from Marvel Studios and Pixar Animations, which are both owned by Disney.
Disney is in the process of buying Lucasfilm and its Star Wars franchise. New movies in the science fiction series are in the works, with the first one out the year before the Netflix agreement starts.
Netflix shares spiked 14% following the Disney deal announcement, although it has not been disclosed just how much the company will pay for the exclusive rights.
US subscription TV channel Starz currently has the US rights to show Disney films in the 'first run' after cinema release. It also has rights to Sony studio releases, including films by Columbia and Tri-Star.
Ted Sarandos, the chief content officer at Netflix, said that the deal with Disney was a "bold leap forward" for internet television.
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"Disney and Netflix have shared a long and mutually beneficial relationship and this deal will bring to our subscribers, in the first pay TV window, some of the highest-quality, most imaginative family films being made today," Sarandos said.
"It's a bold leap forward for internet television and we are incredibly pleased and proud this iconic family brand is teaming with Netflix to make it happen."
Disney-ABC Television president Janice Marinelli added: "With this cutting-edge agreement, we are thrilled to take our highly valued relationship with Netflix to the next level by adding Disney's premier films to their programming lineup.
"Netflix continues to meet the demands of its subscribers in today's rapidly evolving digital landscape, and we are delighted that they will have much earlier access to our top-quality and entertaining slate."
Netflix America has also acquired pay-TV rights to new Dreamworks productions, in a deal which begins next year.
The Netflix subscription internet streaming service is also available in the UK and Ireland, but the Disney and Dreamworks deals only apply to the US.