The 28-year-old Big Bang Theory star and Sweeting tied the knot in a secret ceremony on Dec. 31 2013 after only six months of dating, and while revealing some of the details of their romance (the two moved in together the day after their first date), Cuco explained the two aren't "nuts" but that they "just fell in love."
"We actually met on a blind date. I had never met him, and he had really never met me. He still tells me he had never seen the show, he didn't know who I was," Cuoco told Letterman
"He came to L.A. for a blind date -- and he never left," she said later. "We had been texting, we texted a little bit. Dinner was great, and then he moved in the next day. I know, it sounds so slutty, but it wasn't!"
The couple got engaged three months after the date and decided to marry three months after that because they "were throwing a New Year's party anyway."
"I was like, 'Let's throw a ceremony in the party and not tell anybody,'" Cuoco said.
The actress added that it was very hard for her to keep the news a secret, as she "could not keep my mouth shut."
"I'd be getting my nails done, and I'd be like, 'Listen, I'm totally getting married in a few months,'" the actress confessed. "And then I'd go get my gas pumped, and I'd be telling the attendant, like, 'I'm getting married in a few months, but you're the only one that knows, so don't tell anyone!'"
"So there'd be all these articles, and my husband would be like, 'How does everyone know we're getting married?'" she added. "And I'd be like, 'I do not know. I do not know!'"