The three kilogram (six pound, 15 ounce) baby was born in Los Angeles on Tuesday (17JAN06).
In a statement the couple reveal mother and daughter are doing very well.
Eagles of Death Metal frontman JESSE HUGHES, who is a close friend of the couple, announced the pregnancy last September (05).
He said, "They are honestly the most beautiful couple you could ever see. Brody is a beautiful, expecting woman who is also the queen of rock and roll, in my opinion."