Born Sunday night, the couple's first child is named Jackson James Daly, People.com reported Monday.
"Parents are both ecstatic," Carson Daly's publicist, Heather Lylis, told the magazine. "They have a happy and healthy baby boy."
Daly is the host of the late-night chat show "The Last Call with Carson Daly."
Swim Week Miami Beach 2014 [PHOTOS]