A spokeswoman said officers were alerted to the pair in the stolen car in the suburb of Bradford about 9am today.
Spikes were deployed in Kaikorai Valley Rd and the silver Nissan was found with its engine still running in nearby Salisbury Rd.
The pair then fled on foot, but were found by police a short time later.
One person is facing a charge of unlawfully taking a motor vehicle, the spokeswoman said.