The suspect was brought to a hospital in critical condition, an LAPD spokesperson said.
An innocent woman who was in the area was also struck by gunfire on the arm and was brought to a local hospital. She is expected to survive.
The violent series of events unfolded around 12:17 p.m. when police were called about a domestic violence suspect in a white Maserati who was apparently following an alleged victim riding on a city DASH bus in the San Pedro area.
Officers found the Maserati on the northbound 110 Freeway and attempted to pull the suspect over. He briefly pulled to the side of the road, but then took off as officers approached.
They chased him along the freeway and into the West Adams area and eventually into a residential neighborhood near West and Jefferson boulevards.
The suspect pulled into a driveway, parked behind an apartment building and walked toward the street, where police were approaching.
"The suspect in the driveway pulled out two guns - one in each hand - and opened fire on the officers," McDonnell said. "Officers returned fire, striking the suspect."
"The suspect was on the ground, the officers went to his location, secured the firearms, administered aid to him, requested a paramedic ambulance who responded and transported the suspect to a local hospital."
McDonnell says from shell casings on the ground near the suspect it appears he fired his weapons multiple times. Officers also fired multiple rounds.
"It was very quick," said McDonnell, who was just appointed the city's police chief earlier this month. "Thank God no officers were injured during this. This shows just what our officers are facing out there every day - confronting a suspect who's gonna do what they gotta do to try to get away."