His father, Cecil Day-Lewis, is the Poet Laureate of England and a successful author (under the pen name Nicholas Blake) and his mother, Jill Balcon, was an actress.
His grandfather, Sir Michael Balcon, was one of the most prominent and widely regarded figures in the British film industry, producing over 200 films throughout his long career.
Daniel's father was a workaholic and his mother, Jill Balcon, spent much of her time focused on Cecil and his career.