Media reports said Scott MacIntyre is charged with two counts of threatening death, forcible entry and possession of heroin and cocaine.
The reports identified MacIntyre as the ex-boyfriend of Ford's sister but police have yet to confirm a connection between the mayor and the man arrested.
Ford said Wednesday afternoon that he had "an unwelcome visitor" but did not give any further details on what happened.
The mayor said the incident "was over pretty quickly" and that he and his family were fine.
The mayor's brother, Coun. Doug Ford, wouldn't comment on the alleged death threats, but confirmed there was a "security breach" at the mayor's home.
Toronto police were called to the west-end residence just after 8:30 a.m. Wednesday after reports of a suspicious vehicle.
The mayor's office later released a statement confirming "there was a security incident involving a threat to the mayor and his family," adding, "they were not harmed."
Doug Ford said he was trying to convince his brother to get a security detail.
"He feels he doesn't need it," he said.
"It's not the first time this has happened but it's in the hands of the police and we have all the confidence in the world that they're taking care of this."
(680News, AM640, The Canadian Press)