The agreement barred everyone involved in the film from publicly discussing it.
Terms of the settlement were not disclosed. An after-hours call to Nelson's talent agency was not immediately returned.
The fourth installment of the adventure series was directed by Steven Spielberg and stars Harrison Ford.
Tyler revealed plot details during an interview last month with his hometown newspaper, Oklahoma's Edmond Sun, Daily Variety reported. That story has been removed from the newspaper's Web site.
"We ask every cast and crew member to sign a confidentiality agreement because we want to protect the movie's thrills and surprises for audiences," said Lynn Bartsch, Lucasfilm's director of business affairs.
A spokesman for Spielberg said he didn't know whether Nelson's scenes would be cut from the movie.
The new Indy adventure, which also stars Cate Blanchett and Shia LaBeouf, will be in theaters next May.
The producers of the new "Indiana Jones" movie have settled a lawsuit against an actor accused of breaching a confidentiality agreement by revealing the film's plot in a newspaper interview.