updated 04/02/2012 AT 5:50 AM ET
•originally published 04/02/2012 AT 5:30 AM ET
Bruce Willis 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.