A license is required to own many animals the state considers to be dangerous. This includes bears, coyotes, cougars, chimps, lions, tigers and many others. There are no laws regarding monkeys, wolves and other animals.
In only very rare circumstances can you get a permit to own one of the many animals listed as prohibited. Animals that fall into this category include bears, all non-domesticated felines, ferrets, and more.
Unless you want exotic animals for educational purposes or exhibition, you cannot keep them as pets. Exotic animals include primates, bears, poisonous reptiles, large cats and wolves. A permit is needed even for educational and exhibitory purposes.