(L-R) Domino Kirke and Penn Badgley Theo Wargo/Getty Images for Giorgio Armani Penn Badgley and his wife, Domino Kirke, are the proud parents of two identical twins boys. "I'm interrupting my paternity leave, which I'm on by the way, which is also I'm whispering. There's tiny little baby feet right there," Badgley, 38, said in a video uploaded via Instagram on Wednesday, September 3. "I don't want to wake them up." Badgley added that the reason why he was making the video was to announce there will be an upcoming live event for his podcast and new book Crushmore on Tuesday, October 14.