Parker, 37, gave birth in New York on Monday to a son weighing 6 pounds, 8 ounces and measuring 19½ inches long, said her spokeswoman, Ina Treciokas. She declined to give further information.
The baby is the first child for Parker and Broderick, 40. He recently co-starred in the hit Broadway musical "The Producers" with Nathan Lane.
Parker, who has won three Golden Globes for her role as sex columnist Carrie Bradshaw on HBO's "Sex and the City," married Broderick in 1997.
She is a former child performer who played "Annie" in the hit Broadway musical for two years (1978-80) before segueing smoothly to a busy and varied acting career, says Hollywood.com (CBSNews.com parent Viacom has a financial interest in Hollywood.com) She has played freewheeling relationships columnist Carrie Bradshaw, a single thirty-something navigating Manhattan's dating jungle, on HBO's acclaimed series "Sex and the City" since 1998.
Displaying gifts for both comedy and drama, Matthew Broderick became established in New York theater before scoring a big screen success as a young computer wiz caught up in nuclear intrigue in "WarGames" (1983). He left "The Producers" (for which he was nominated for a Tony) to work on a production of "The Music Man" for ABC television. No air date has been announced.