He was born seven pounds and four ounces after the former thirteenth-season The Bachelor bachelorette underwent an emergency C-section on Wednesday morning, according to TooFab.
"No words can describe how blessed Ann and I feel having welcomed our son into the world today," Csincsak told TooFab. "We are so excited to finally have him with us - we've been waiting our whole lives for this moment!"
The 26-year-old former flight attendant from Phoenix, AZ, and her new baby are reportedly doing well after Leuders was in labor for 21 hours and had her C-section done around 4AM Wednesday morning because the umbilical cord was wrapped around Noah's neck a couple of times.
The new parents said they had a difficult time coming up with the right name for their child before they reached the decision of naming him Noah.
"At first we were like, 'Oh we'll name him Jesse,' and I was like [my parents] were going to do that with me. They were going to name me after my dad Ted, and my grandfather's name was Ted, and there was just so many Teds and I was like, I don't want him to feel like he has to follow in my footsteps, I want him to be his own person," Csincsak said.
"I want him to have his own identity and not type in his name, and all this stuff about me comes up on Google. I want him to have his own little Google ability!"
Leuders -- who appeared on Jason Mesnick's The Bachelor edition in 2008 but was eliminated on the first night during the Rose Ceremony which followed the season's initial cocktail party -- said she didn't want her son to feel like it was mandatory for him to enter the limelight because his parents opted to do so.
"We don't want him to feel pressure to go on a reality television show. That's really where the name change came from!" she joked.
Csincsak -- who competed for Pappas' heart and won against Mesnick on The Bachelorette -- and Lueders met last year on a cruise for prior TheBachelor and The Bachelorette contestants. They got engaged in August and announced the pregnancy shortly before they wed a few weeks later.
Csincsak broke up with Pappas in November 2008 and then dated twelfth-season The Bachelor bachelorette Holly Durst before he and Lueders began their relationship.