Bracco was born on October 2, 1954, in the Bay Ridge neighborhood of Brooklyn, New York City. She is the daughter of Eileen (née Molyneux, 1926–2010) and Salvatore Bracco, Sr. She has a sister, actress Elizabeth Bracco, and a brother, Salvatore, Jr. Her father was of Italian descent, while her mother was born in England, with French ancestry. Her parents met during World War II; Eileen came with Salvatore to the United States as a war bride. Bracco grew up in Hicksville, New York, on Long Island, from fourth grade. Bracco graduated from Hicksville High School in 1972.