In a statement, his family said the star had passed away following the long-term battle with a progressive lung condition, idiopathic pulmonary fibrosis, which rapidly worsened towards the end of this year.
"Our daughter Rose flew home from San Francisco to be with him over the last few weeks and I know he was surrounded by so much love from his second wife Maria, their son Ted, his sister Janice, his twin brother Jeff and his father Colin".
In a statement on her official website, the TV presenter said he was a "one off", and recalled seeing him just a matter of weeks ago. "RIP you National Treasure".
But he made a comeback as a host of Channel 4's Big Breakfast in the 1990s.
He added: "We were great friends for many years, but we lost touch a bit and [his death] came as a huge shock for me". "I had been to clinics so many times I couldn't lie any more about being in clinics for depression - people know I am not a depressive person", he told Stuff in March past year.
Blackburn told News that Chegwin was "exactly the same (off air) as he was on television" and that he never saw him with a script.
She gushed: "I first met him when we did a film about windsurfing when I joined Swap Shop in 1978, and was immediately struck by his fun, energy and kindness".
Chegwin was a big hit when he brought It's A Knockout back.
Another celeb to honour the late Dancing On Ice and Celebrity Big Brother star is Cheggers' Swap Shop colleague Noel Edmonds.
During the 1970s, "80s" and '90s he became known for his TV work, with his big break coming in the shape of Multi-Coloured Swap Shop and Cheggers Plays Pop.
He disappeared from TV screens for a number of years during a well-documented battle with alcohol.
His star began to rise again until he took what he called "the worst career move" in his life - Channel Five's Naked Jungle, where he appeared in nothing but a hat.