Tony Huston's father had English, Scottish, Scots-Irish, distant German, and very remote Portuguese, ancestry. His mother was of Italian descent.
Tony Huston was born on April 16, 1950, in Malibu, California, United States to the family of a director John Huston and a ballerina Enrica Soma. He was named after both grandfathers, paternal grandfather Walter Huston and maternal grandfather Anthony Soma. Tony was born only nine days after the death of his grandfather, Walter Huston. His father John moved the family to St. Clerans, Ireland, when Tony was a year old. He holds Irish citizenship, as his father had. His parents separated when he was a teenager and he and his mother and sister went to London.