[xyome]

In the province of Quebec you can specify a "no pet" rule in a lease. You can even be more specific and allow for a certain number and type of animal (e.g. max 2 cats, no dogs).

There's a lot of stuff you can't discriminate on, but animal ownership isn't a fundamental right.

[icegreentea]

In Ontario, the law stipulates that a land owner may not restrict leasers from owning a pet, unless the pet runs afoul of other stuff (like if they somehow interfere with another leaser's ability to live a reasonable life). But everyone still puts the 'no-pet' clause in the contracts.