Monster Trucks like you see in shows are expensive to own and insure. According to truckworld.com the costs involved with true monster trucks are normally too high for most individuals without having it for a business purpose or having support from a sponsor.
The Monster Truck Racing Association (MTRA) is the organization of Monster Truck owners, drivers, sponsors and fans that you can contact for information about how to go about getting a license for this type of vehicle. MTRA information can be found at Truckworld.com. At the US Hot Rod Association site (USHRA.com) you can also find out information regarding monster trucks and how to become licensed.
Monster Trucks are a specialty vehicle that would need special insurance to cover it so you will need to contact the associations listed above to get insurance and licensing information.
Remember to get your automobile insurance quotation here.