The owners claim the law threatens their property rights and freedom of speech. They say it forces them to join private associations and possibly give up their animals without compensation. They also contend it unlawfully forces them to perform surgical procedures on the animals.
The lawsuit was filed Friday in Columbus federal court.
Under the law, owners face a Monday deadline to register their wildlife. If they don’t, they could face a first-degree misdemeanor charge for a first offense, and a fifth-degree felony for any subsequent offenses.