The actor's wife Sandra Cho gave birth to the couple's first child, a baby girl named Amelie Moon Durand, on August 30, reported Ace Showbiz.
Durand, 41, shared the good news himself, posting a black-and-white photo of him carrying the baby on Instagram.
"My wife @SandraDurand23 and I are so proud to announce that we became parents yesterday! AmelieMoon Durand is here! So grateful n Happy #loveandgoodnesstoall," he captioned it.
Well wishes are pouring in from Durand's celebrity friends.
Fellow actor Matthew Bomer tweeted, "Congratulations my friend! So excited to meet Amelie, and so happy for your beautiful family."