Police said two cars were parked in front of a house, and there was an exchange of gunfire.
The 14-year-old and her family just returned home from a wedding. They were in their driveway about 100 yards away when they were caught in the crossfire.
The mother was shot in the arm, and the girl was shot in the torso.
"It's one thing to have the gang activity. It's another thing when you start having people that have nothing to do with it that get shot. That's really making this community angry," said Capt. Phillip Tingirides of the Los Angeles Police Department.
Officials said the girl remains hospitalized in critical condition. She is expected to make a full recovery. Her mother was treated and released from the hospital.
The incident remains under investigation. Authorities said the neighborhood was full of potential witnesses at the time of the shooting.
Anyone with information was asked to call Los Angeles police at (877) LAPD-24-7. Callers can remain anonymous.