Authorities in New Mexico, and the British newspaper The Guardian, citing a statement from the Santa Fe Police Office, said Baldwin, the 68-year-old actor who stars and produces the movie Rust, fired with a pistol.
The statement said police were dispatched to the shooting location at Bonanza Creek ranch, when an emergency caller reported the shooting.
Director of photography, Hutchins, was flown by helicopter to New Mexico University Hospital, where she was pronounced dead by medical staff, while director Souza was taken by ambulance to a nearby medical center where he is being treated for his injuries.
The investigation is still open and underway, and no charges have been brought in the incident yet.
A police official said Baldwin came voluntarily to speak with investigators, and left after speaking with them.
A spokesman for the American actor said that there was an incident on the set, which involved the accidental firing of a pistol with stray bullets.
The Santa Fe New Mexican newspaper reported that Baldwin was seen leaving the police office in tears, and they were unable to obtain comment from him.
According to investigators, the scene that was being filmed appeared to involve the use of a firearm, and investigators are now looking into how and what kind of shots were fired.