updated 04/07/2011 AT 11:00 AM ET
•originally published 04/06/2011 AT 8:00 PM ET
Mariska Hargitay has a big surprise to share.
The Law & Order: SVU star and her husband, actor Peter Hermann, have adopted a baby girl, she tells PEOPLE exclusively.
Baby Amaya Josephine was born about a week ago and is from the United States.
“I’m deliriously happy,” Hargitay, 47, tells PEOPLE. “From the minute she was born, she was just surprisingly alert and so full of love.”