Los Angeles Sheriff's Department officials said investigators found the man in the doorway of the house with a gunshot wound to the upper body.
Deputies also found a woman in a bedroom with a gunshot wound to the upper body. She died at the scene. The man was hospitalized in critical but stable condition.
Authorities said they're trying to figure out whether the shooting was a murder-suicide or a domestic dispute. Anyone with information on the shooting was asked to call the sheriff's homicide bureau at (323) 890-5500.
CNS contributed to this report.