What kind of sword does Zorro use?

It is called an Épée or a Rapier, in the time of the story it where called an Sabre.

The Sabre is offen compared to the curved sWord. But the original Sabre was developed as a cavalry weapon, which was used when fighting from horseback. This Sabre have no sharp edges and even the end was blunt.

It was commonly used to hit with the full length of the blade. This creates more of the classic "swish" and sweeping movement.