Christoph Waltz and Amy Adams star in the biographical drama as Walter Keane and Margaret Keane, who were involved in one of art history's biggest hoaxes.
'Big Eyes' chronicles the couple's contentious divorce battle, as both claim to have painted a lucrative series of portraits of big-eyed waifs.
Burton is directing the movie from a screenplay by Scott Alexander ('Man on the Moon') and Larry Karaszewski ('The People vs Larry Flynt').
Danny Huston, Terence Stamp, Jason Schwartzman and Krysten Ritter have supporting roles in the film.
'Big Eyes' opens on Christmas Day in the US and on December 26 in the UK.