The birth was announced by Barbara Walters on "The View" Tuesday morning and picked up by local TV affiliates in Ohio.
Parker, 44, and Broderick, 47, awaited the arrival of their double bundles of joy in an adjacent room at the Ohio hospital, WTOV-TV reported.
The twins are the second and third children for the couple, who have been married since 1997 and announced they were using a surrogate to get pregnant in April.
"Well, you know, we've been trying to expand our family for a number of years and we actually have explored a variety of ways of doing so," Parker told Access Hollywood after the announcement. "This was one of the things we discussed with seriousness that had real possibilities for us."
Parker said in the interview she was thrilled to find out the couple was having twins.
"I mean, giggles," Parker gushed as she spoke of her reaction to the news. "We didn't expect it. I think after a certain amount of time, you tend to hold your hopes at bay a bit so as not to be disappointed. One really would have been thrilling and we would've felt incredibly lucky. And two was a comedy."
The pregnancy has not been without controversy. The woman who carried Parker and Broderick's babies became a target for tabloids and others.
Two Ohio police chiefs are under investigation by the Bureau of Criminal Investigation over a recent break-in at the home of the woman.