There are laws. To import any blade that is not classified as a blunt (mace), chain (kamguri/butterfly knife), concealed (knives/cane swords) or specialities (darts/shurigan/blowguns) is free for you to import. Laws within Canada stipulate that the blades intent defines crime. If you intend to rob a bank for example, by having that intent you have committed a crime even if you don't do it.
If your a martial artist, and you are carrying it around, by entering a public place, should anything happen, even as simple as telling some punk to take a hike is technically illegal, as you do possess a weapon. (hold your argument for a sec)
If you carry a sword around you are subject to random inquisitions from the police, and they do hold the authority to remove the weapon from your custody if you give them a reason to fear for the publics safety.
Should you be attacked, and forced to use self defence, the fact you have a weapon automatically leaves you charged with aggravated assault with a weapon, EVEN if you don't use it.
Basically owning and using swords is not illegal. The intent of ones actions or inactions is illegal.
Should you be transporting a sword, its advised that the sword cannot be easy to draw (tie the tang to the gaurd), maintain a clear and visible 10 foot radius to the majority of persons around yourself, Say in the view of all security cameras, and DO NOT ALLOW ANYONE to visibly get on your nerves. this will reduce/prevent your liability should you be attacked.
