Roddy Loughton, 26, was pronounced dead following an incident at a house in Edinburgh.
His older brother Steven, 29, appeared has appeared in court charged with his murder.
The victim and alleged killer are brothers of John Loughton, 31, who won Big Brother: Celebrity Hijack a decade ago and is now an award-winning social entrepreneur.
Roddy’s family, including mum Donna McColl, released a statement saying he was a “loving dad, son and brother”.
According to the Daily Record, they added: “We are shocked and devastated beyond words by the news of Roddy’s passing.
“Roddy was a loving dad, son and brother who had a sensitive soul, great sense of humour and adored his kids.
“We want to thank all the family, friends and local community for their well wishes and support.
“We would request and appreciate people respect our desire for privacy at this very difficult time as we come to terms with our loss.”
Roddy, who leaves two daughters, was found fatally injured in Muirhouse in the early hours of Monday.
Police later said they had arrested a 29-year-old man.
Steven Loughton appeared in private at Edinburgh Sheriff Court, charged with murder.
He made no plea or declaration and was remanded in custody.
Devastated friends of Roddy took to social media to express their shock.
One friend, who asked not to be named, said: “Roddy was a nice guy. He had two wee girls and adored them.
“He was a really funny guy to be around. It’s such a shame and such tragic circumstances. Any time of the year is bad but so close to Christmas is just heartbreaking.”
Emma Reid wrote: “Cannot get my head around this. Roddy had a heart of gold and as silly as he was, he was a total gentleman.”
Another wrote: “I honestly can’t believe it can’t get my head around it. In total shock.”
John walked away with £50,000 when he won the reality game show spin-off in 2008.
When he entered the competition, aged 20 he was chairman of the Scottish Youth Parliament and was studying sociology and politics at Stirling University.
These days, John describes himself as a youth campaigner and activist and he has launched a social enterprise business.
Steven Loughton is expected back in court next week.