The Montreal Police Brotherhood and the federation that represents other municipal forces in the province say 22 American states already have anti-quota laws.
The two organizations have sent a letter outlining their position to Quebec Public Security Minister Lise Theriault.
They say for example that officers have to abandon or delay responses to certain crimes because they are obliged to go out and reach their quotas.
There are also complaints about problems trying to maintain regional squads that fight organized crime at a time of increased budgets for traffic squads.
The police brotherhood points out that if Montreal officers are on traffic duty, they have to hand out an average of 16 to 18 tickets a day.
President Yves Francoeur also claims the quota system is used in evaluating the performance of police officers.