Actress Nicole Kidman and her husband, musician Keith Urban, arrive at the 68th annual Golden Globe Awards in Beverly Hills, California, January 16, 2011. [Photo/Agencies]

Oscar-winning actress Nicole Kidman and her country star husband, Keith Urban, announced on Monday they were parents of a new baby daughter born with a surrogate.

"Our family is truly blessed, and just so thankful, to have been given the gift of baby Faith Margaret," the couple said in a statement.

"No words can adequately convey the incredible gratitude that we feel for everyone who was so supportive throughout this process, in particular our gestational carrier."

The statement said Faith Margaret Kidman Urban was born on December 28 in Nashville and is the couple's biological daughter. A gestational carrier, or surrogate, is a woman who carries the baby to term for the biological parents.

Kidman, 43, a top Hollywood star whose movies include "The Hours" and the currently playing "Rabbit Hole," and Urban, 43, were married in 2006 and have another daughter together, Sunday Rose, born in 2008.