Quebec's new justice minister says he wants to put in place stiffer sentences for drunk drivers who are repeat offenders.

"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.