The entertainer died last month aged 85 after being diagnosed with a form of motor neurone disease.
The service was held near his family home in Shirley, Croydon, south London, at the St John the Evangelist Church, before the cortege moved on to a local crematorium.
Celebrities including Barry Cryer, Sir Michael Parkinson, Jimmy Tarbuck, Rob Brydon and David Walliams were seen arriving at the church.
Corbett’s good friend Sir Bruce Forsyth was absent from the service due to his ill health, but his wife Lady Forsyth did attend.
Four candles burned at the back of the altar referencing one of Corbett’s most popular sketches as part of The Two Ronnies alongside Ronnie Barker, known as Four Candles – or Fork Handles.
‘Happy Service’ For Ronnie Corbett
Sir Michael said of Corbett: “What you saw is what you got. He was modest, self-effacing, he was a brilliant comic, very good actor too, very good comedy actor.
“And as a guy to be a friend of he was just unbeatable.”
Sir Michael said he will be “greatly missed”, adding: “It’s a sad day.”
Tarbuck said Corbett was a “great guy” and added that the atmosphere would be “very sad for the family and for all his friends”.
He went on: “He was much loved. Very correct guy, very funny fellow. Disciplinarian – I think that was because he was an officer in the RAF. But he was great company.
“I mean he was a terrific laugh. Dreadful giggler. He used to get me at it when we worked together.”
Prompting cheers from mourners nearby, Tarbuck said: “Much loved, and should have been knighted. That’s definitely my opinion.”
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