In my high school you would have had to talk to a teacher to start a school club. That teacher would be in charge (as well as yourself) and he/she would talk to the principal or vice principal to make sure the club is approved.
You also need a certain amount of students that are willing to join the club :)
To start a school, you need to first contact the school administration to ensure no such other club exists and to get a go ahead. This is to ensure there are no similar clubs in the school. You will then ask for the requirements needed for such a club, like membership, the club's purpose a sponsor for your club. Visit http://www.ehow.com/how_4324_start-club-school.html for more details.