His son Steve Finan O'Connor said he was a "unique comedian who was light years ahead of political correctness".
O'Connor rose to fame on TV show Opportunity Knocks, which he won three times.
He went on to star in The Comedians and host shows including Name That Tune, Crosswits and the Tom O'Connor Show.
He leaves a wife and four children, as well as 16 grandchildren and a great-granddaughter.
His son added: "Tom was famously known for a brand of humour that was 100% clean and always totally family friendly."
