TMZ is reporting that Kim has given birth to a girl and that they are both in good health. This account is in line with previous reports that Kim was at Cedars-Sinai Medical Center this morning to give birth - 5 weeks sooner than originally planned.

Boyfriend Kanye West was said to be there for the entire thing. He reportedly cancelled his appearance at his own record release party last night when Kim told him she was feeling ‘a little off.’

It is the first child for Kim and Kanye.

PHOTO: Getty Images/Bob Levey/Stringer