It happened around 9:00 Friday night at Glenwood and Allegheny avenues.
Officers started pursuing the vehicle after it went through several traffic lights.
Police say the young driver may have panicked when he saw officers pursuing, causing him to lose control.
The vehicle collided into a parked car and flipped over.
One of the teens was thrown from the vehicle. All five victims were taken to St. Christopher's Hospital in stable condition.
Authorities later learned that the vehicle was stolen.
Police continue to investigate.