Prohibits the import, export, interstate commerce, breeding, acquisition, sale, and possession of a broad list of nonhuman primate species (including apes, monkeys, lemurs, tarsiers, lorises, galagos, and hybrids), while creating narrow exemptions and registration rules for animals already in private hands and for certain research facilities. The bill requires the Interior Secretary to write implementing regulations within 180 days and imposes a 180-day deadline to register qualifying pre-existing animals with the U.S. Fish and Wildlife Service, along with limits on breeding, transfers, and public contact for those animals.