Christopher Dorner was shot at by a fish and game ranger, as he fled in a stolen vehicle in north-east Los Angeles, Reuters is reporting.
The agency states that earlier Dorner had broken into a home, tied up a couple and stole their pick-up truck.
Local media is also reporting it is believed one of the hostages was able to flee and raise the alarm.
More top news
The presidential candidate has called for the FBI to fully explain the new emails that have come to light.
The American Airlines plane caught fire at Chicago O'Hare airport, prompting an evacuation of the plane.
As the number of people sleeping rough in England increases significantly, a new bill aimed at cutting homeless has passed a second reading.