The 33-year-old reality TV star and her partner Scott Disick welcomed a 7lb 14ozs (3.5 kilogram) daughter into the world on Sunday morning at Cedars-Sinai Medical Center, in Los Angeles.
The happy couple have called her Penelope Scotland and Kardashian is doing well after the labour.
"Scott and I are overjoyed to welcome our precious angel Penelope Scotland Disick into our lives," she told E! News. "We are forever blessed. Mommy and baby are resting comfortably."
The pair already have a two-year-old son called Mason.
Kardashian's mother Kris Jenner revealed the star had a natural birth. She is thrilled with the latest addition to their family.
"It was great. She had an easy delivery," Jenner beamed. "[Penelope] is so cute. She looks just like Mason. She's so beautiful. We are so happy."
Kardashian and Disick announced they were expecting their second child in November last year. They confirmed it was a girl in February.
Kardashian has always dreamed of having a daughter, so was thrilled when she found out the gender.
"I even wanted a girl the first time - and then we had Mason and it couldn't have been any better" she told OK! magazine earlier this year. "We're very fortunate to have the combination that everyone wishes for."
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