A police officer also suffered non-life-threatening injuries during the incident in Durack about 12.20pm on Friday.
Paramedics took the man, 28, to Princess Alexandra Hospital in a serious condition.
The shooting happened after the man fled an allegedly stolen red Hyundai at the intersection of Inala Avenue and Blunder Road.
He then jumped into another nearby car and threatened the driver, a man aged 58, Detective Acting Inspector Michael Manago told reporters.
“The male person who entered that blue Commodore was armed with a knife,” he said.
“A police Taser and firearm were deployed almost instantaneously.”
The driver of the Commodore was uninjured.
“He’s pretty shaken up,” Manago said.
The alleged driver of the stolen car, a man aged 26, was arrested at the scene.
Police have appealed to members of the public who witnessed the incident or have dashcam footage to contact Crime Stoppers.Jump to next article