September 11, 2012 02:15 PM

Jeff Kravitz/FilmMagic

The True Blood twins have arrived.

“We can confirm that Anna Paquin and Stephen Moyer recently welcomed their twins into the world,” reps for the actors tell PEOPLE exclusively.

“The babies were born a few weeks early, but are in good health and both Mom and Dad are overjoyed.”

These are the first children together for Paquin, 30, and Moyer, 42, who were married in August 2010.

Moyer has two children — daughter Lilac, 10, and son Billy, 12 — from previous relationships.

The costars just wrapped their fifth season, with the finale of the hit HBO show airing Aug. 26.

— Sarah Michaud with reporting by Julie Jordan

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