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