"Star Wars is the greatest modern mythology and we feel very lucky to have contributed to it.
"We can't wait to continue with this new series of films."
Britain's Prince Harry (R) meets Chewbacca during a visit to the Star Wars film set at Pinewood Studios near Iver Heath, west of London April 19, 2016
Lucasfilm's president Kathleen Kennedy said Johnson is "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."
The original franchise has nine films, including the final instalment known as Star Wars: Episode IX, which is directed by JJ Abrams and will be released in 2019.