The entertainer, whose real name was
Barry Elliott, starred in
ChuckleVision with his brother Paul on the BBC between 1987 and 2009.
Paul said: "I've not just lost my brother, I've lost my theatrical partner of many, many years and my very best friend."
Tributes from fans who grew up watching their show poured in on Twitter, with many thanking him "for the laughs".
Earlier this year, the brothers returned to the small screen with a new show, Chuckle Time, on Channel 5.
The star had not been well towards the end of the new show's filming.
Summer work was cancelled while Barry rested at his doctor's request, but not long after his health deteriorated.
Manager Phil Dale said: "It is with great sadness that the family announce that Barry passed away peacefully at his home surrounded by his wife Ann and all his family.
"The family would like to express their thanks to the many people who have been fans of the Chuckle Brothers and they know that they will share in part the great, great loss they feel."
Mr Dale said Barry "leaves 50 years of laughter as his legacy, which is something very special".
The duo had started their careers as The Chuckles on ITV talent show Opportunity Knocks in 1967.
From Rotherham and honorary presidents of Rotherham FC
Two older brothers, Jimmy and Brian, also formed a double-act, the Patton Brothers, and have appeared on ChuckleVision
The Chuckles won ITV talent shows Opportunity Knocks in 1967 and New Faces in 1974
ChuckleVision ran for 292 episodes between 1987 and 2009
They received a special award at the Children's Baftas in 2008
They recorded a charity single titled To Me, To You (Bruv) with Tinchy Stryder in aid of the African-Caribbean Leukaemia Trust in 2014
They gave evidence at Dave Lee Travis's 2014 indecent assault trial - they were performing in panto with him in 1990 when the assault took place
They were seen playing a magician (Paul) and his assistant (Barry in drag) on TV comedy Benidorm in March
They starred in a new short film about Joseph Grimaldi, the 19th Century "king of clowns", titled The Funniest Man In The World, with Barry playing Grimaldi
Many viewers who grew up watching ChuckleVision - which ran for 292 episodes - expressed sadness on social media.
"Another piece of our childhood gone", tweeted broadcaster Tony Shepherd, while one woman said: "RIP
Barry Chuckle. As a kid I absolutely loved getting in from school and watching #Chucklevision."