Police initially tried to pull over a car of interest but the offenders did not comply and fled.
After abandoning a pursuit, the vehicle was found a short time later having crashed at the intersection of Anzac Drive and New Brighton Rd.
The approximate eight-minute flee and crash left one of the young people with moderate injuries, police said.
They were taken away for medical attention, both will be referred to Youth Services.
Christchurch police found themselves in a similar situation two weeks ago, when a motorcyclist disobeyed requests to pull over at a city centre intersection.
The motorcyclist sped through an intersection and collided with a silver sedan - killing the motorbike’s rider.