Naomi Watts & Liev Schreiber Name Baby Samuel

Watts and Schreiber in 2007

Stuart Ramson/AP

updated 12/15/2008 AT 7:50 PM ET

originally published 12/15/2008 AT 8:00 PM ET

Naomi Watts and Liev Schreiber have revealed more details about their newborn son, starting with his name: Samuel Kai Schreiber.

Samuel – the couple’s second child after year-old son Alexander Pete Schreiber – was born Saturday and weighed 7 lbs., 13 oz., the couple’s rep tells PEOPLE.

“Both mom and baby are doing great,” the rep says.

• Reporting by LIZA HAMM

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