Jeff Dunham Welcomes Twin Sons Jack Steven and James Jeffrey

The comedian and wife Audrey welcomed twin sons Jack Steven and James Jeffrey on Sunday, his rep confirms to PEOPLE exclusively

Jeff Dunham‘s world just got twice as sweet.

The comedian is a dad again after welcoming twin sons with his wife, Audrey, on Sunday, Oct. 11, his rep confirms to PEOPLE exclusively.

Born in Los Angeles, Jack Steven and James Jeffrey Dunham‘s arrival couldn’t have been more perfect: The baby boys arrived the day before the couple’s third anniversary.

“Mama Audrey and both boys are happy and healthy and doing well,” the ventriloquist, 53, tells PEOPLE. “Born two hours apart and no C-section needed. I was literally right there, and after the heads were clear, the doctor let me pull the little guys out the rest of the way.”

He adds, “Life doesn’t get any more beautiful and amazing than that.”

The Jeff Dunham: Unhinged in Hollywood star and Audrey, a certified nutrition specialist and fitness trainer, first announced they were expanding their family — times two! — in May.

“Hey everyone! Jeff and I have some exciting news to share!! This fall, we will be welcoming not one, but TWO new members to the Dunham family!” the mom-to-be wrote on Instagram.

The couple celebrated the new additions with family and friends during a teddy-bear themed baby shower in September. Although the two-tiered cake showcased two bears holding hearts decorated with the letter “J,” the Dunhams ultimately decided to keep the names under wraps until the birth.

“We chose names that we thought were traditional, strong and solid. We picked Jack because Audrey has always liked that name for a boy. Also, a friend of mine — another ventriloquist — calls me ‘Jack Durham’ as a joke. Then Kiefer Sutherland played Jack Bauer on 24, and people said I looked like him, so that became my name on the road. ‘Jack’ just became ingrained in us,” Jeff tells PEOPLE.

“The middle name, Steven, is Audrey’s father’s name and honors him.”

He continues, “James Jeffrey is another one Audrey loved, and I thought it went well with Jack Steven. And it’s ​James​ — not Jimmy, not Jim!”

While the twins are the first children together for the couple, the comedian — who just wrapped his Las Vegas residency — is already dad to three daughters from his previous marriage. He’ll return to the road for his new tour, Perfectly Unbalanced, in December.

— Anya Leon with reporting by Sarah Michaud