Buttigieg shared more on Saturday, tweeting a photo of Chasten and him each cradling a newborn.
â€œChasten and I are beyond thankful for all the kind wishes since first sharing the news that weâ€™re becoming parents,â€ the secretary wrote on his personal Twitter account. â€œWe are delighted to welcome Penelope Rose and Joseph August Buttigieg to our family.â€
He released no other details about the babies, such as whether they are twins.
Buttigieg, 39, has talked publicly about his desire to become a father since his campaign for the Democratic presidential nomination in 2020.
Buttigieg, the former mayor of South Bend, Indiana, and Chasten, 32, were married in June 2018. Buttigiegâ€™s father, Joseph, died six months after the wedding.