More on GlobalPost: Oscars: The Artist a big score for a very French film
The 76-year-old was hit on Tuesday while crossing the street near the port of Piraeus, and died later in hospital from severe head injuries.
Angelopoulos's career spanned more than four decades, during which time he worked as a director, producer and screenwriter, the music and film news site contactmusic.com reported.
He won the prestigious Palme d'Or top prize at the 1998 Cannes Film Festival for his film Eternity and a Day, while also receiving awards and critical praise for his work on political Greek films Days of '36, The Hunters and The Travelling Players.
Other noteworthy films include Voyage to Cythera, Ulysses' Gaze and Landscape in the Mist, for which he won the Silver Lion Award for Best Director at the Venice Film Festival in 1988.
More on GlobalPost: Somalia: Pirate movie selected for Sundance Film Festival
The Nazi occupation of Greece and the country's civil war big themes in his early films, while with his political films concerning modern Greece, he gained a reputation for producing long, carefully choreographed sequences, the BBC reported.
Angelopoulos had been shooting a new film about the local effect of Greece's sovereign debt crisis when he was killed.