Burbank police said officers responded to the 900 block of Cambridge Drive at about 1:25 a.m.
One man was found in a driveway next to a parked vehicle and the other man was found inside a home, police said.
The woman was taken to a local hospital. Her condition was not known.
Police also said three children were found safe inside the home.
It is not known if a suspect is in custody.
A firearm was recovered at the scene, police said.