
IMAGE SOURCE, GETTY IMAGES Image caption, Alec Balwin is a co-producer of the film Rust, which was being filmed in New Mexico
Police in the US state said Mr Baldwin discharged the weapon during filming for the 19th Century western Rust.
The woman was taken to hospital but died of her injuries. The man, the film’s director, was receiving emergency care.
Detectives are investigating the incident at Bonanza Creek Ranch, a popular filming location.
The woman has been named as 42-year-old Halyna Hutchins, who was working as director of photography. The man being treated is Joel Souza, 48, the film’s director.
Police said their investigation remains open and active, and no charges have yet been filed in relation to the incident.
In a statement to Variety magazine, the International Cinematographer’s Guild said Ms Hutchins’ death was “devastating news” and “a terrible loss”.
Police said sheriff’s deputies were dispatched to Bonanza Creek Ranch at around 13:50pm MST (19:30 GMT) after receiving an emergency call about a shooting on set.