The collaborators described the science-fiction film as the first in a planned stand-alone trilogy produced by Megan Ellison of Annapurna and David Ellison of Skydance.
Dana Goldberg and Paul Schwake of Skydance will be executive producers. Paramount will distribute the movie. Laeta Kalorgridis and Patrick Lussier are attached to write the screenplay.
No director, casting or plot details have been announced yet, but Arnold Schwarzenegger, who played the title character in three of the four existing "Terminator" movies, has said he would be interested in reprising his role.
The "Terminator" film franchise has earned more than $1 billion at the worldwide box office since the first installment was released in 1984.