France has agreed to a request from Burkina Faso's military leaders to withdraw all its troops from the country.
Burkina Faso says it wants to defend itself.
France says it would also recall its ambassador to the country for consultations. Last year French troops also left neighbouring Mali, where they had spent eight years fighting jihadists.
France has kept close military links with many of its former colonies in West Africa and has been helping several of them fight jihadists who are active across the region under the now-terminated Operation Barkhane.