Cmdr. Ian Lafrenière with the Montreal police confirmed the unnamed officer met with his commanding officer last Friday.
Lafrenière said the matter will be dealt with internally this week.
"The Montreal police were not happy with the words that were used,'' said Lafrenière. ''It was not acceptable. This is a good police officer and we know he tried to do everything to help out the homeless person."
A video shot by a passerby and posted to YouTube shows part of the interaction between the officer and the homeless man.
The officer can be heard saying in French that if another citizen complains to police about the man he would "tie him to a pole for an hour.''
The homeless man was outside in freezing temperatures wearing only a short-sleeved T-shirt and jean shorts that reached his calves.
Lafrenière said last week the sanctions could range from a verbal warning to a suspension.