On her website Goop.com, Gwyneth Paltrow announced this yesterday:

"It is with hearts full of sadness that we have decided to separate. We have been working hard for well over a year, some of it together, some of it separated, to see what might have been possible between us, and we have come to the conclusion that while we love each other very much we will remain separate... We ask for [our kids'] and our space and privacy to be respected at this difficult time."