Naomi Watts gave birth to a healthy baby early this morning in California.  A source tells Life and Style magazine:

This is a dream come true for both of them and they’ve done everything in their power to make it as special as possible, right down to staying in the dark about the baby’s sex right up until Naomi gave birth.

The name and sex of the baby has not been announced.  Naomi, the baby, and the baby’s father, Liev Schreiber, are currently resting at home.