The director, 76, was crossing a road in Athens when he was knocked over by a motorcyclist. He sustained severe head injuries and died in a nearby hospital.
Angelopoulos began his career in 1968 and he enjoyed success as a director, producer and screenwriter for more than four decades.
He became known for his work on political Greek films Days of '36, The Hunters and The Travelling Players, which landed him a string of European awards including Best Film of the Year by the British Film Institute.
His other works include Voyage to Cythera, Ulysses' Gaze and Landscape in the Mist, which scored him the Silver Lion Award for Best Director at 1988's Venice Film Festival in Italy. A decade later (98), Angelopoulos won the prestigious Palme d'Or award at the Cannes Film Festival for Eternity and a Day.