The 37-year-old actress and her husband, Will Kopelman, welcomed Olive Barrymore Kopelman on September 26.
A statement from Drew's production company, Flower Films, said the baby was born "happy, healthy and welcomed by the whole family".
The Charlie's Angels star married her art consultant love, in June, and her pictures of her wedding appeared exclusively in HELLO! magazine.
Drew was about six months pregnant when she walked down the aisle wearing a bespoke Chanel gown designed by Karl Lagerfeld.
The french fashion house seemed like the obvious choice, since Will is the son of former Chanel CEO Arie Kopelman.
His wife, meanwhile, is the granddaughter of screen legend John Barrymore.
Drew has finally got her happy ending after her first two marriages ended in divorce.
Her union with British-born LA bar owner Jeremy Thomas ended after just 19 days in 1994. She then wed Canadian funnyman Tom Green in 2001 but the pair separated after five months.