Naomi Watts and Liev Schreiber have named their newborn son Samuel Kai Schreiber, her rep tells Usmagazine.com.

The boy — who weighed 7 lbs., 13 oz. — was born Saturday.

“Both mom and baby are doing great,” her rep tells Us.

Watts and Schreiber have a son, Alexander, 1.

Motherhood “is everything everyone says it is and more,” the actress told Australia’s Herald Sun in April. “There’s still so much to learn, I’m still figuring it out.”

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Naomi Watts and Liev Schreiber welcomed their second child, PEOPLE has learned.

“I can confirm Naomi and Liev had a baby boy yesterday,” said the actress’s rep.

A couple since 2005, Watts, 40, and Schreiber, 41, already have a baby boy, Alexander Pete Schreiber, born July 26, 2007.

Earlier this year, Watts boasted of her first-born, “He’s turning pages in the book. He’s crawling and standing up. He can wave. I read Goodnight Moon to him every night.”

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Pictured: Nicole Kidman and Hugh Jackman, Keith Urban, Naomi Watts & Blake Lively.

Naomi Watts was looking ever more pregnant as she grabbed coffee. Naomi was in high spirits laughing and smiling while she shopped on a very cold November day in New York City. Naomi shopped at ‘Daffy’s’ before heading to ‘Whole Foods’ before finally grabbing three coffees from ‘Think Coffee’.

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