"I've seen particularly tragic cases where people driving under the influence kill or hurt someone and it's their fourth or fifth offence," said Bertrand St-Arnaud, in an interview with Radio-Canada. "It doesn't make any sense and I think there is a consensus among the population on that issue."
Currently, impaired drivers face a minimum of 120 days in jail if they are caught driving under the influence for a third time.
The penalty does not automatically increase for subsequent offenses.
St-Arnaud says he wants to legislate a one-year jail term for a fourth infraction, and two years for a fifth infraction.
St-Arnaud says the Quebec and Alberta governments also want to pressure the federal government to modify the criminal code.