When an on-air host at CP24, Toronto's TV news channel, brought up the conviction in during an interview on Wednesday, Tyson repeatedly swore and appeared to threaten the host.
The interview aired live and uncensored.
Host Nathan Downer had asked about Tyson's recent endorsement of Mayor Rob Ford.
"Some of your critics would say … we know you're a convicted rapist, this could hurt his campaign. How do you respond to that?" Downer asked.
"It's so interesting to me that you come across like a nice guy but you're really a piece of sh-t," Tyson replied. He seemed surprised by the question.
Watch the interview here, or click below.
Tyson was on the station to promote his one-man show, Mike Tyson: Undisputed Truth, at the Air Canada Centre. On Tuesday he met Ford at city hall, later calling him the "best mayor in Toronto history."
He was asked then about his troubled past and responded that his mistakes, like the mayor's, have been in the public eye.
But when Downer asked the question more bluntly, Tyson reacted badly. Downer tried to move on but the former boxing champion would not let it go.
"Hey, come on," said the CP24 host. "We're on live TV here."
Tyson responded that he didn't care.
"What are you going to do about it?" he said.
The animosity continued till the end of the 90-second interview, with Downer signing off and Tyson quickly following that with, "F-ck you."
Tyson is considered one of the greatest heavyweight boxers ever, but has led a turbulent life, including the 1992 rape conviction, for which he served three years of a six-year sentence.
He also, famously, bit off part of EvanderHolyfield's ear in a 1997 bout.
Since Tyson's retirement from professional boxing, the New York native has appeared in films including The Hangover and embarked on his current live tour.
Ford has met with with many celebrities and sports stars, including other former professional boxers such as Canadians George Chuvalo and Charles (Spider) Jones, who have both endorsed him in past.