The You've Been Framed star became ill and was taken to hospital last week where his condition worsened.
In 2005 Jeremy was diagnosed with a form of leukaemia and also had to have a cancerous kidney removed.
He recovered but his health remained fragile.
'Jeremy and I were firm friends for nearly 30 years. I loved and admired him and I shall miss him desperately,' Henry Kelly tells BBC News.
The professional prankster was married with two children and two step-children.
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