Chicago West, or Chi for short, was born early Monday via surrogate and weighed in at 7 pounds, 6 ounces.
Kanye West was raised in Chicago, Illinois.
Chi joins 4-year-old sister North and 2-year-old brother Saint.
The reality star and makeup mogul suffered from placenta accreta, a potentially life-threatening complication, during her two pregnancies.
(© Copyright 2018 CBS Broadcasting Inc. All Rights Reserved. The Associated Press contributed to this report.)