"Zoe and Marco are delighted, Zoe has been ready to drop for some time and they are both ecstatic to be meeting the twins," a friend told the Mirror.
Zoe Saldana and Marco Perego are celebrating the arrival of their twins
"This is a dream come true for both of them, they are absolutely delighted. They have been looking forward to this day for the last nine months. Both want a big family, so this is the start."
It's been a whirlwind period for the couple, who tied the knot in a secret ceremony in Britain in September 2013.
The Avatar beauty had spent the last few weeks of her pregnancy looking for a suitable house for the family. She previously revealed she will be taking quite a lot of time off to look after the newborns.
"It's nature! Like, you just cannot do it. What kind of mother would I be? There's no choice," Zoe, 36, said of her approach to motherhood.
The couple married in June 2013 after a whirlwind three month romance
"'You want me to leave my newborn so that I can work 16 hours on your set? He's only a month old, are you out of your mind?'"
Zoe, who previously dated Bradley Cooper, has also addressed the question of her whirlwind courtship.
"I don't do the ABCs," she said in a magazine interview. "I do what my heart says, what my heart feels. So from the moment I met my husband, we were together. We knew.
"I don't just window shop," she added. "I don't have the time or the energy or the attention span for that. I need a pair of jeans, I go and – boom – get them. I met my husband I wasn't going to try it out and see if it works. No I felt it. I went with the feeling."