Emma Heming and Bruce Willis
04/02/2012 at 05:50 AM EDT
and Emma Heming-Willis welcomed a baby girl, Mabel Ray Willis, Sunday in Los Angeles, Willis's rep confirms to PEOPLE.
The Die Hard
actor, 57, and designer-model Heming-Willis, 33, "are overjoyed about the newest member of their family. Both mother and baby are healthy and doing beautifully," says the rep.
Weighing 9 lbs., 1 oz., Mabel Ray is the first child together
for the couple, who have been married for three years
Willis has three other daughters
, 23, Scout, 20, and Tallulah, 18 with ex-wife Demi Moore