This is the French version of the old fairy tale, Beauty and the Beast (original title La belle et la bête). Disney has a version of this story in the works, but this one looks like a film for grown ups.
Mon Roi, or My King in English, is a French film directed by Maïwenn, the 4th film from this director. Maïwenn also wrote the screenplay. Vincent Cassel and Emmanuelle Bercot star as the couple in the film.