It happened around 2 p.m. along Vollmer Road, west of Crawford Avenue, near a forest preserve, officials said.
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Officials said the baby who died was 4-months-old and was pronounced deceased just before 2:40 p.m. at St. James Hospital.
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The Cook County Medical Examiner's Office identified her Tuesday as Athena Green.
Four others were also hurt - three adults and another child, police said.
Police said there were no car seats in the vehicle the baby was in, and the child was not wearing a seatbelt. The baby was ejected from the car during the crash, police said.
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The victims in the crash were not from Matteson, according to police, and it was not immediately clear how the crash occurred.
The entrance to a nearby Cook County Forest Preserve was closed, while police investigated.