The crash happened at about 9:22 p.m. in the 1400-block of W. Irving Park Road, police said.
The victim, a 25-year-old woman, walked between two parked cars and onto the street when the crash happened.
She was struck by a male driver in a blue sedan, police said.
CPD said as the driver fled the scene and struck a dark-colored SUV, which caused a chain collision with a black car.
After the second crash, police said the driver of the dark-colored SUV chased the man driving the blue car.
Police said the driver then crashed into a tree and ran into a nearby building in the 4000 block of N. Ashland Avenue.
The 25-year-old woman was taken to Illinois Masonic Hospital, where she died.
CPD said the driver of the blue car was taken into custody.
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