The French-Swedish actress Marika Green is her aunt. Green is naturally dark blonde she has dyed her hair black since she was 15 years old. Life and cinema don't have borders.' Green has described her family as 'bourgeois', and has said that her sister is very different from her. Eva has described herself as “a secular Jew who never attended synagogue as a girl” she has said 'I feel like a citizen of the world. Green is Jewish, as is her mother (of Sephardic Jewish heritage). Her mother, a native of French Algeria, later moved to Metropolitan France.
Her father is of Swedish, French, and Breton descent, and through him she is the great-granddaughter of the French Breton composer Paul Le Flem. Her father has acted in film, appearing in Robert Bresson's film Au Hasard Balthazar. She is the daughter of Marlène Jobert, an actress, and Walter Green, a dentist. Green was born two minutes earlier than her fraternal twin sister, Joy.
