The pair announced on Monday that their daughter Faith Margaret was born three weeks ago via a surrogate and Kidman says they have been feeling on top of the world ever since.
A spokesperson for the Rabbit Hole star said: 'We spent Christmas on tenterhooks and after Faith Margaret was born on Dec. 28, a healthy 8lbs 9oz, we spent New Year's on cloud nine.'
Since the baby arrived, Kidman and Urban, both 43, have enjoyed time at home with big sister Sunday Rose, two, in Los Angeles and Nashville.
The actress added: 'We have been having a wonderful bonding experience with Faith Margaret and feel truly blessed.'