Spikes were deployed on Great South Rd and the vehicle stopped on McAnnalley St.
Police said the occupants fled on foot, but officers found all three hiding behind nearby commercial premises.
A screwdriver was found at the scene.
“This was a dangerous display of driving that put the vehicle’s occupants and the public at risk,” Cornish said.
The three youths, aged 13, 14 and 15, were referred to Youth Aid.