"Supermodel and G.I. Joe actress Karolina Kurkova, 25, and film producer of Voices of Iraq, Archie Drury, welcomed a son Thursday in New York," her rep confirms to PEOPLE. "Both mother and baby are happy and healthy."
The baby boy, named Tobin Jack Drury, weighed in at 6 lbs. 3 oz., and is the first child for the couple.
The birth comes just two weeks after Kurkova celebrated at her baby shower with actress Michelle Monaghan and fellow Victoria's Secret models Alessandra Ambrosio and Adriana Lima (who is also expecting) at Abe & Arthur's restaurant in N.Y.C.
"She looked amazing at her shower and she's super excited," Ambrosio told PEOPLE at the launch of Victoria's Secret Beauty Velvet after the shower.
Ambrosio, who had a daughter last year, says the Victoria's Secret models are baby crazy. "It's just great that we're all at the same time in our lives. We're all having babies, we're thinking about play dates. We're going shopping for the babies," she says. "If we have time, we're together we're talking about babies!"