The Oscar winner and her husband, Philip Schneider, welcomed twins on April 9.
"It was not an easy task. But boy (or girl!) was it ever worth it!
"Hilary posted about it on Instagram. "Easter greetings! I'm posting from Heaven."
The newborns, whose names have yet to be revealed, are the couple's first children.
They married in a private outdoor ceremony at a California preserve in 2018.
In October, the 48-year-old announced her pregnancy for the first time.
Hilary revealed on Good Morning America that she was looking forward to motherhood as her "next thing" when discussing her upcoming projects.
"And not just one, but two," the actress exclaimed. "I still can't believe it."