The embattled actor did not appear in New Mexico court to enter his plea.
She is currently facing involuntary manslaughter charges.
The Western is set to resume production soon, following the fatal on-set shooting of cinematographer Halyna Hutchins.
The lawsuit was filed and announced by the family's attorneys on Thursday.
Alec Baldwin is official charged with the fatal shooting of cinematographer Halyna Hutchins.
Alec Baldwin's attorney reacts to the actor's involuntary manslaughter charges after Halyna Hutchins was fatally shot on movie set.
Baldwin will be charged with two counts of involuntary manslaughter in the 2021 fatal shooting of Halyna Hutchins.
The announcement comes over a year after Halyna Hutchins was fatally shot on the set of the Western.
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.
ET has learned ‘Rust’ will resume production in a new location next year.
Filmmakers are considering other locations as the project picks back up in 2023 following Halyna Hutchins' death.
Alec Baldwin has reached a settlement in the fatal 'Rust' shooting which killed cinematographer Halyna Hutchins in October 2021.
The late cinematographer's husband, Matthew Hutchins, will also serve as a producer.
