Five-time world champion O'Sullivan conducted an extraordinary press conference on Sunday following his first round victory at the World Championships, claiming he had received a disciplinary letter from World Snooker which contained threatening language.
The 41-year-old added he would not be "bullied" by the sport's governing body anymore after previously claiming he has been mistreated by World Snooker having been disciplined for criticising a match referee at the Masters in January.
Hearn has now had his chance to respond to O'Sullivan's comments and denies having any involvement in the letter O'Sullivan received.
In a statement released by World Snooker, Hearn said: "I personally take any accusation of 'bullying and intimidation' by me or World Snooker very seriously.
"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.
"I hope all parties can move on from this position and concentrate on the brilliant entertainment provided by players at the Betfred World Championship."