Hank said: "I feel great and I am so happy."
He added: "She is great and did an amazing job."
The Playboy model's brother Colin and mother Patricia, who fell out with her in October, have yet to comment on the news of her daughter's arrival.
The fight kicked off when Patricia rang her daughter to enquire whether the pregnancy rumours were true, and Kendra allegedly told her to "go die".
They have yet to resolve their issues and Patricia recently said: "Kendra seems to have this deep-seated hatred toward me and I cannot figure out why. Until a sincere apology comes my way, we won't be part of each other's lives."
-BANG! Showbiz