"She was doing 'Hope and Faith' at the time here in New York with Kelly Ripa and Faith Ford, and I came and did an episode of it," Green, 46, said on Barstool Sports' KFC Radio on Thursday. "I met Megan on that, and she was really young. And I was like, 'This isn't this. This can't f--king happen. This isn't going to happen. No way.'"
"And so I left, and she was just really persistent," he added. "And thank God."
Brian explained he brushed off the now-33-year-old's advances because he "had just gotten out of a relationship" and "wasn't looking for" another one at the time. The actor said he wanted to "play the field for a little while." This would have been shortly after his split from Vanessa Marcil, with whom he shares son Kassius.
Though Green "kept pushing her away early on," he couldn't stand the thought of her moving on and dating other people, which she said she would do.
"That's when I realized, I was, like, 'F--k, I must be really into this situation ... the thought of that kills me.' And ... we've been together now for 15 years," he said. "You know, it's funny because you talk about Megan now because you know her after all of that. But you know, this was when I met her -- [she] was pre-Transformers. It was pre- all that."
Early on into their relationship, Brian said there was "so much anonymity going around." Megan lived in New York City, so he would visit "on weekends." He described that time of their courtship as "really easy and fun." That was 2004.
Two years later, in 2006, Green and Fox got engaged. They called off their relationship in 2009, but reconciled a year later and tied the knot a year after that. They now share three children: Noah, 6, Bodhi, 5, and Journey, 3.