In the interview, Givens and Roper portrayed Tyson, 22, as a "scary" and "frightening" person to live with.
Dispatchers from the Bernardsville Police Department and the Somerset County sheriff's office confirmed that officers had responded to an incident at the house in this northern new Jersey town, according to the News.
The Post said an outraged Tyson hurled a sugar bowl, a fireplace handiron and chairs through the windows of his home. The News said Tyson brandished "an instrument" from the fireplace and ran through the home smashing windows.
Givens and Roper, apparently unharmed, reportedly fled the house and drove several miles to a nearby gas station, where they first phoned Shelly Finkel, a close friend, then police.
According to the Post, Tyson stayed in the house for several minutes, then hopped into one of his cars and drove to New York City. Hours later, he phoned for a limousine to pick him up after he missed meeting a friend.
"I've heard things, but I cannot comment on it," said Bill Cayton, Tyson's manager.
But the 83-year-old woman who has been characterized as Tyson's "adopted" mother, Camille Ewald, told the Post that Tyson's behavior comes as no surprise in light of the "20-20" interview.
"I think that if I was Mike I would have choked her right then and there on that show," she said. "She was trying to belittle him, take everything away, his dignity, and embarrass him in public."
The reported incident came one day after the three celebrated Roper's birthday. The Post said the champion "didn't seem to be that upset" Saturday as he watched the heavyweight Olympic bout on TV with Finkel and boxer Ed Hopson.