The chaos began in Pelham Manor, just over the Bronx border, around 6 a.m.
It's not clear what sparked the pursuit, but the officers followed the Dodge Durango to Boston Road and Marolla Place.
There, he crashed into a Saturn with two women inside. One, a 62-year-old woman from The Bronx, was left in critical condition.
The other, a 53-year-old woman, also from The Bronx, was in stable condition at Jacobi.
Charges were pending against the driver.