The Hollywood actor had previously denied newspaper reports this year that the pair was to split.
The 49-year-old began dating Paradis, 39, in 1998 after he broke up with supermodel Kate Moss.
Robin Baum Johnny Depp's publicist
Depp and Paradis appeared together in Roman Polanski's 1999 film The Ninth Gate.
The couple have two children, Lily-Rose, 13, and nine-year-old Jack.
They have homes in France, Los Angeles and on a private island in the Caribbean.
The couple never married, although Depp has been married once before, to Lori Anne Allison between 1983 and 1985.