Born Eleanor Elizabeth Bamber in the South of England, UK, Bamber has a younger brother, Lucas. She acted on stage from an early age - becoming the youngest ever member of The London Player's Theatre, before playing Young Jenny in Sir Trevor Nunn's "Aspects of Love".
She then went into TV and film and in quick succession she was offered Lydia Bennett, in Pride and Prejudice and Zombies (2016) alongside Lily James and Matt Smith. Then Dinah Lord in High Society, directed by Maria Friedman and was the last production under Kevin Spacey's tenure as Artistic Director, at the Old Vic, London where she was nominated for an Evening Standard Best Newcomer Award. Then (Helen) India Hastings in Tom Ford's long awaited second feature film, playing Jake Gyllenhaal's and Isla Fisher's daughter, in the dramatic thriller Nocturnal Animals (2016). She will next appear in a lead role in the feature film Extra Curricular Activities starring alongside Timothy Simons and Colin Ford.
In 2015 she was announced as one of BFI and Screen Daily's Screen Stars of Tomorrow.