Tony McGregor said his family had "nothing to fear" amid rumours the UFC legend punched a man with links to a notorious Dublin crime figure.
"It's an absolute nonsense story. It's grown legs and it's getting that ridiculous – it's become funny," he told the Irish Mirror.
"We have nothing to fear here whatsoever. There's no one after us for anything."
Christy Kinahan, the notorious Irish crime figure who Conor McGregor reportedly angered after a fight with an associate.
Reports alleged 29-year-old McGregor, nicknamed The Notorious, was involved in a pub fight with a man in his 50s on Sunday night .
Unverified claims said McGregor glanced the drinker - who is believed to have links with the feared Kinahan cartel headed by "Dapper Don" Christy Kinahan.
McGregor, who banked US$100 million (NZ$146 million) after his boxing defeat to Floyd Mayweather in August, was said to have fled the Black Forge Inn and gone into hiding while a truce was arranged.
But Tony McGregor told the Irish Mirror: "We're a law-abiding family and we've stayed a law-abiding family."
"As a matter of fact, right now I'm going out to buy my TV licence.
"I'd view 95 per cent of that story as nonsense and the other 5 per cent is overly exaggerated. And that's it."
Meanwhile, a judge in Ireland accused McGregor of giving the court the "fingers" after initially not appearing for the third time to face a speeding charge.
McGregor made a late dash to the Blanchardstown District Court in Dublin on Thursday morning (Thursday night NZT), arriving in his £200,000 (NZ$393,000) BMW i8..
After a short time in the court house, McGregor was handed a £350 (NZ$690) fine after pleading guilty to breaking a 100kmh speed limit in Dublin on March 13. He was given two months to pay, The Mirror reported, and was told he could do so in instalments despite his huge windfall from the Mayweather bout.
Earlier, his solicitor Graham Kenny admitted he did not know where McGregor was and the judge reacted with fury, The Mirror reported.
"I'm getting nothing but fingers from Mr McGregor. If he's making a case he has to be here," Judge Miriam Walsh fumed.
"This is absolute disrespect to the court. I am very annoyed with Mr McGregor."