Reps for the acting couple confirm Paquin gave birth to the babies a few weeks early but say they're in good health and their parents "are overjoyed." The statement issued Tuesday didn't specify when or where the babies were born or the sex of the children.
News of the births was first reported by People.com.
The babies are 30-year-old Paquin's first children. Moyer, 42, has two children from previous relationships.
The "True Blood" stars were married in 2010. The show is in its fifth season on HBO.