The Western is set to resume production soon, following the fatal on-set shooting of cinematographer Halyna Hutchins.
The cinematographer replacing Hutchins on the project after her 2021 death has also been confirmed.
The lawsuit was filed and announced by the family's attorneys on Thursday.
The actor filed a motion asking the court to remove Andrea Reeb, as she also serves in the state House of Representatives.
Alec Baldwin is official charged with the fatal shooting of cinematographer Halyna Hutchins.
A lawyer for the production says the film plans to move ahead with Baldwin as star, even amid the ongoing legal issues he faces.
Alec was charged Thursday with two counts of involuntary manslaughter.
Baldwin will be charged with two counts of involuntary manslaughter in the 2021 fatal shooting of Halyna Hutchins.
Alec Baldwin responds to his involuntary manslaughter charges in the fatal shooting of Halyna Hutchins on the 'Rust' set in 2021.
The announcement comes over a year after Halyna Hutchins was fatally shot on the set of the Western.
In the lawsuit, Alec Baldwin alleges that he was not responsible for the set's safety.
Check out this full episode of ET's The Download, breaking down all the must-know entertainment news stories from Friday, Oct. 21.
Hutchins died when a prop gun Baldwin was holding fired and killed her.
Swen Temmel opens up to ET about Halyna Hutchins' death and how it affected him personally.
