He was the son of Richard Fitzalan, 10th Earl of Arundel and Eleanor Plantagenet.
He had two wives: Elizabeth de Bohun (married about 1359), and Philippa Mortimer, whom he married in 1390.
With Elizabeth, he had five children:
Thomas Fitzalan, 12th Earl of Arundel
Elizabeth D'Arundelle Fitzalan
Margaret Fitzalan
Alice Fitzalan
Richard Fitzalan.
With Philippa he had two children:
John Fitzalan
Joan Fitzalan.