The 37-year-old, who has Bobby, 13, and Freddy, 12, with the late Jade Goody, shared a rare photo of his family on a beach in the Caribbean.
“Having an incredible time with these two monkeys,” he wrote on Instagram.
The photo, that has nearly 5,000 likes, has garnered hundreds of comments from fans.
“Beautiful picture of father and sons,” one person wrote.
“Jade would be so proud of them. All grown up. Well done Jeff you’ve done fantastic. Fab dad.”
Another fan commented: “What a fantastic job you have done with your boys” and one wrote: “There should be more fathers like you.”
Goody died in March 2009 when her sons were aged four and five.
In a previous interview with The Huffington Post UK, Brazier said he worried about how being a single dad would affect his children.
“The difficulty at that point was knowing you were responsible for everything,” Brazier recalled. “There was no one to share the important moments with anymore.
“If Bobby hurt himself I would always call Jade first, but when it’s just you, you don’t have anyone to tell.
“The pressure of responsibility was overwhelming - even during positive moments like when one of the boys played their first football game, I wanted to share them with her.
“It was lonely doing the most difficult yet rewarding job in the world as a single parent.”
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