The couple ended its relationship earlier this year, according to People.com.
Carter’s representative tells the publication, “(They) separated amicably and have continued to be friends and co-parent their children. We would ask that you respect their privacy and that of their children during this time.”
Carter and Burton are parents to a son and daughter.
The couple met on the set of 2001′s Planet of the Apes and went on to work together on several films, including Charlie and the Chocolate Factory, Sweeney Todd: The Demon Barber of Fleet Street, Alice in Wonderland and Dark Shadows.
See which other famous couples called it quits this year in the gallery below.