The officer, whose name was not being released, was wearing a ballistic vest that stopped some of the rounds after the gun battle broke out at the West Bureau Traffic lobby in Mid-City, police said.
The wounded officer was being treated at Cedars-Sinai Medical Center, where Beck joined other officers who had gathered at the facility after the shooting to show their support for their wounded colleague.
"He is in great spirits," Beck told reporters. He described the officer as a "remarkable young man" who was "very, very lucky."
"But his luck was augmented by his courage," the chief added. He credited the officer with opening fire on the gunman and saving his life and that of another officer.
The station is often quiet at night, but a community meeting with about 35 people was underway in a room near the lobby when the gunman began firing, police said.
Terrance Jones, 52, lives across from the police station and said the place has seen its share of problems, including custody fights, scuffles, arguments and car accidents.
Despite the commotion, he and other neighbors said, they feel safe in their Mid-City neighborhood.