The crime drama is produced by the renowned film company A24 and will run for two seasons on Netflix.
In the series, Paltrow, known for blockbusters such as "Iron Man" and "Shakespeare in Love," will play the mother of a boy who was murdered 18 years ago in a high-profile unsolved case.
The series is written by Joe Murtagh, creator of the thriller series "The Woman in the Wall," and directed by Vinterberg, whose acclaimed films include "The Party," "The Hunt" and "Another Round."
A premiere date has not yet been announced.