The Dublin professional mixed martial artist also revealed that they have decided to call their baby boy Conor Junior.
"We can land the left paw from anywhere. Who wants it," the UFC lightweight champion joked on his Instagram account yesterday.
McGregor also said: "Dee and Junior are doing great everyone! Thank you for all the kind words. I am one proud and blessed Daddy.”
Their new baby Conor Jack McGregor was born last Friday evening and weighed in at 8lb 14oz.
Dee Devlin, who has been with Conor McGregor for eight years, also took to Facebook during the weekend to share their joy. She wrote: "Welcome to this world my beautiful baby boy little Conor Jr. We will love you with all our heart!"