"My daughter @DaphneOz delivered her first child! I'm holding my beautiful granddaughter now. Thank you for all the well-wishes & prayers!" the elder Oz, also a TV star and author, tweeted Thursday.
Daphne is a co-host of the food-themed talk show "The Chew."
Her husband John Jovanovic told People.com their baby was born Wednesday night, but they are not announcing her name just yet.
"Mom and baby are doing very well. We feel so blessed," Jovanovic told People.com.