He earlier claimed on a radio station that councilors were against his agenda to save taxpayers money. "If they want me out, they should just call a snap election," Ford told radio station AM640.
However, the council rejected a motion proposing such an election, and also refused to give Ford another month to get an expert medical opinion on whether he was capable of carrying out his duties.
Councilor Denzil Minnan-Wong, a former Ford ally, said it's about his conduct.
"This is about embarrassing the city, his involvement with gangs, his involvement with crack cocaine. This is about his admission that he gets behind the wheel while drinking," Minnan-Wong said.
"He's the worst spokesman for the city of Toronto right now."
Toronto, a city of 2.7 million people, has been abuzz with the Ford melodrama since May, when news outlets reported that he had been caught on video smoking crack.
Recently released court documents show Ford became the subject of a police investigation after those reports surfaced. Ford, who denied there was any incriminating video, now acknowledges the reports were accurate.
In interviews with police, former Ford staffers have made further accusations, saying the mayor drank heavily, sometimes drove while intoxicated and pressured a female staffer to engage in oral sex.
On Thursday, Ford spouted an obscenity on live television while denying the sex allegation, saying he was "happily married" and using crude language to assert that he enjoys enough oral sex at home.
Last week, after admitting to excessive drinking and buying illegal drugs, Ford disclosed that he is seeking medical help. But he and his family insist he is not an addict and does not need rehab.
In his Monday interview with the CBC, the mayor said that he had only smoked crack once. "This is an isolated incident," he said.
Ford admitted that he had bought marijuana since becoming mayor. But he denied that he has driven drunk, and said he was "finished" with drinking.
"I've had a come-to-Jesus moment if you want to call it that," Ford said. "Just the humiliation and the belittling and the people I've left down. And it's all because of alcohol. Excessive, stupid, immature behavior and that's it."
Ford said he had let his family down. He said it "ripped his heart out" when Canadian Finance Minister Jim Flaherty, a family friend, recently became choked up when he was asked about Ford.
Prime Minister Stephen Harper — like Ford a Conservative — was in Toronto on Monday to meet with area Parliament members from his party. Harper's office issued a statement which said the latest allegations against Ford "are troubling."
"Our Government does not condone illegal drug use, especially by elected officials while in office," it said.
Ford and his brother made their debut on a current events television show broadcast Monday night called "Ford Nation" on the conservative tabloid Sun News Network in Canada.
Rob Ford told viewers they would see a change in him over the next few months. "I'll take a urine sample right now," Ford said on the show which was taped Sunday.