The couple, who competed together as partners on "Dancing with the Stars" season 30, shared the news during the Sept. 22 episode of their podcast "Oldish" with their co-host Randy Spelling, brother of Tori Spelling.
"I did the thing. The thing has been done," Green said on the podcast with Burgess, revealing that he proposed more than two months ago at his surprise 50th birthday party.
Burgess then told the story of how Green popped the question, recounting how he whisked her away to their bedroom after the festivities had overflowed into the evening and their children came in.
"Noah is holding Zane, and Journey is holding this little red Cartier box," the "DWTS" pro said. "And they all come in there and they stand next to Brian, and he takes the box from Journey and he opens it up to me and he says, 'Would you spend the rest of your life with us?'"
She continued, "I was just looking at him like, 'I can't believe this is really happening.'"
"I feel like this is the start of the second half of my life," Green said. "I also had this idea in my head of I want the kids to be a part of it, because they're a part of everything."
Burgess has since taken to Instagram to show off her engagement ring, captioning the post, "Our latest chapter."
This will be Green's second marriage. He was previously married to Megan Fox from 2010 until 2021, when their divorce was finalized. They share three children -- sons Noah, Bodhi and Journey -- and the "Beverly Hills, 90210" alum shares son Kassius with actress Vanessa Marcil.
Burgess and Green welcomed their first child together, 1-year-old son Zane, in June 2022.