Pink also shared a photo of her new baby posing with Hart. It makes a dream come true for the pair, who have always wanted to name their son Jameson.
Pink told Access Hollywood in November 2010: "My dad's name is James, and my brother's name is Jason. [Carey and I] are both Irish, Carey's middle name is Jason, and Jameson - we like whiskey. That's a no brainer."
Pink only announced that she was pregnant with a second child last month. Pink and Hart, now an off-road truck racer, married in 2006.