Johnson has directed "Star Wars: The Last Jedi," which is due out in December.
The studio is also planning a live-action "Star Wars" TV series to air on its entertainment streaming service that is expected to launch by the end of 2019, reported Variety.
Disney chairman-CEO Bob Iger made the announcement during the company's quarterly earnings call.
Apart from the "Star Wars" TV series, Disney is working on TV series adaptations of Pixar's "Monsters Inc", the Disney Channel's "High School Musical" franchise and an original entry from Marvel.
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"We all loved working with Rian on 'The Last Jedi'. He's a creative force, and watching him craft 'The Last Jedi' from start to finish was one of the great joys of my career. Rian will do amazing things with the blank canvas of this new trilogy," said Kathleen Kennedy, president of Lucasfilm.
Iger also said he expects the Disney-branded streaming service to be priced "substantially below" Netflix's USD 10.99 a month as the service will have less content overall.
"The price will reflect that. Our goal is to attract as many subs as possible starting out," he said.