The Fawlty Towers star suggested to Absolute Radio Breakfast show host Christian O'Connell that the the power of those who feel offended is "very unhealthy".
Cleese said that generally there is a "tiny little bit of anxiety" around taboo subjects in comedy, such as dead bodies or sexual topics.
"For a small number of people there's so much anxiety in those areas," he added. "They freeze up, they can't laugh, they hate the fact that people round them are laughing. They say 'I've been offended' as though they have a right not to.
"Meanwhile, the other 95% of the audience are howling with laughter. Well, what are you going to say, say, 'No, we're going to take all that pleasure away from the 95% and protect the 5%?'"
He continued: "It's like having a great party and a maiden aunt comes in, and you all sort of behave well for an hour and a half and don't have a good time, then she leaves and you can get on with having fun.
"I mean, I don't want our standards of what can be broadcast and not broadcast determined by the most sensitive and neurotic people in the population, it's not fair on the rest of us."
The full interview with O'Connell aired this morning on Absolute Radio.
Cleese recently said that he rejected two "terrible" scripts from the BBC.
"Twenty years ago, there were 30 or 40 great scriptwriters in the UK - most of them at the BBC," he said. "Now, there are only seven or eight."
> Fawlty Towers: Tube Talk Gold
Watch a classic clip from Fawlty Towers episode 'The Germans' below: