UsWeekly She's here! Kim Kardashian has given birth to a baby daughter, Us Weekly can confirm. The E! reality star welcomed the tot with beau, Kanye West, by her side at Cedars-Sinai Medical Center in West Hollywood, Calif. Originally due July 11, the star couple's new bundle of joy arrived a bit early, and as a special (early!) Father's Day gift for West. PHOTOS: Kim's pregnant bikini body "Kim had her baby," a hospital source tells Us exclusively. "She's five weeks early. Kim got sick last night and had the baby early." The source added, "They're all doing great and amazing!" .