Freya joins the couple's three older children -- Rowen, Reagan and Logan.
ET spoke with Chopra last month at the People's Choice Awards, where she dished on her own time in the hospital -- under much less exciting circumstances. The 34-year-old was hospitalized after suffering a minor on-set injury just days earlier.
"I was doing stunts and it was raining that night -- or snowing, or whatever -- in New York, and I was wearing rubber boots," she shared. "I've done so many stunts before and I never got hurt, but I slipped on a wet road while I was saving someone else -- another co-actor of mine -- and I hit my head on the bumper of the car and the road."