The presenter confirmed the news via the joint Instagram account that he shares with co-presenter Declan Donnelly, where he shared a black and white photo of a tattoo on his shoulder and the baby's covered head.
McPartlin and Corbett's named their baby son, Wilder Patrick McPartlin, who was born on Tuesday at 8.54am.
"Baby is beautiful, Mummy’s a legend, Sisters are over the moon. Dad’s a mess", McPartlin added.
Several TV presenters congratulated McPartlin following this news, including Holly Willoughby who wrote: "Congratulations… welcome to the world Wilder… such beautiful news".
Fellow presenter Cat Deeley who is married to Late Late Show host Patrick Kielty also added, "Amazing! What wonderful news … Congratulations".
Elsewhere, Britain's Got Talent judges Amanda Holden and Alesha Dixon also congratulated McPartlin.
"Awwwww darling I’m so happy for you both! Baby shares the same birthday as my mummy! Can’t wait to meet buba and to celebrate soon! Love you both", Dixon wrote.
Holden wrote: "Oh my gosh, this is just the most amazing news. Congratulations".
"Arggggghhhhhhhhhh!!!! This is AMAZING !!!! Congratulations to ALL of you", Davina McCall wrote.
Other celebrities who sent kind messages to Ant McPartlin include Vicky Pattison, Joel Dommett, and Fred Sirieix.