On Aug.1, Sergakis said three "squeegee kids" hopped onto the terrace at Station des Sports on Sainte-Catherine Street and refused to leave.
"One of them didn't like it and started breaking everything up," he said. "Before that, he threatened that he was going to kill me as well."
Sergakis said he went after the male and called police.
The restaurateur also blames homeless people for stealing food from his customers' plates as recently as two weeks ago.
He said the provincial government has the responsibility to solve the problem and should spend more money to hire more police officers to patrol the streets.
During a news conference on Monday, Montreal Mayor Gérald Tremblay said that if Sergakis had ideas to bring forward, the city's administration would be willing to listen and implement these thoughts in its current plan against homelessness.
"I think that the business community is entitled to be able to generate revenues and operate their businesses with the least inconveniences as possible," he said.
Aki Tchitacov, executive director of Dans La Rue, an outreach centre for homeless people, said increased police presence might not be the answer to Sergakis' troubles. He said the population and the services made available to help them are already being driven away from the downtown area.
"You need more adapted services, psychiatric services for example. There are inadequate services for the normal population, never mind the population on the fringe," he said.
Tchitavoc said it is important to get the proper perspective and determine how important these incidents are before taking action and pushing people without shelter away from the city core.