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.
However, they have not always had the smoothest relationship.
They separated in 2008 after cheating allegations, with Hart starring in the singer's So What video to deal with their separation.
After undergoing marriage counselling, the couple reconciled in 2010 with Pink announcing her first pregnancy shortly after.
