Peet and her screenwriter husband David Benioff are also the parents of 3-year-old Frances.
"Mother and daughter are doing great," Peet's representative told People.com.
Peet's film credits include "2012," "Syriana," "Something's Gotta Give" and "The Whole Nine Yards."
Jordana Brewster on Paul Walker: 'He was an enormous presence in my life'
Exploding whale video goes viral on Internet