O’Sullivan said he was sent a "threatening" disciplinary letter by the governing body after he criticised a referee on television and swore at a photographer during the Masters in January.
The 41-year-old added he was no longer willing to be "bullied" by the sport's authorities, hinting that he could quit the sport altogether.
- [O’Sullivan hits out at snooker chiefs amid 'bullying' claims]
- [O'Sullivan overcomes stubborn Wilson]
But Hearn said that was "inaccurate", releasing a 250-word statement refuting the claims.
"I personally take any accusation of ‘bullying and intimidation’ by me or World Snooker very seriously," he said.
"Unfounded accusations such as these are damaging to World Snooker’s global reputation, as well as my own, and we will take whatever action is required to protect this reputation from such inaccurate comments."
O’Sullivan was speaking in the aftermath of his 10-7 victory over Gary Wilson at the World Championship in Sheffield.
Read the full article on eurosport.co.uk: Barry Hearn rejects Ronnie O’Sullivan accusations