The British actress, 48, and director, 56, ‘separated amicably earlier this year and have continued to be friends and co-parent their children,’ Ms Bonham-Harter’s rep told People.
‘We would ask that you respect their privacy and that of their children during this time.’
The two — who were never married — have an 11-year-old son, Billy, and seven-year-old daughter, Nell, together.
The exact date of their split has not been announced, but in June, Bonham Carter told People that Burton represented the word “love”.
A spokesperson for Bonham Carter last year dismissed as “absolute nonsense” claims that Burton had cheated on her.