The name of Zorro's horse on the U.S. Walt Disney TV series was Toronado. In the 1990 TV series, after Diego/Zorro's first exploit (freeing his father and Victoria Escalante from jail), he decides that he needs a fast horse. He wants a horse that that nobody in the area has ever seen.

Zorro and Felipe (the "Bernardo" character for this series) come across an unnamed black horse. They were able to find the horse protecting his sick foal. Diego tends the foal and persuades the horse to accompany him and Felipe back to Zorro's lair.

Once at home in the lair Felipe comes up with the name "Toronado" because of the horse's strength and speed. Toronado seems to like the name. In the TV series, Toronado displays considerable intelligence and initiative, such as freeing and chasing away troopers' horses, or leading Felipe to Zorro when Zorro has been injured or incapacitated.

More Info: en.wikipedia.org