His family announced "with a broken heart and infinite sadness" that the Swedish-born actor died on Sunday.
Von Sydow's other film credits included Hannah and Her Sisters, The Seventh Seal and Star Wars: The Force Awakens.
He was nominated for two Oscars during his career - including best actor in 1988 for Pelle the Conqueror.
His other Academy nomination was best supporting actor for his role in 2011's Extremely Loud & Incredibly Close.