618.01 DOGS AND OTHER ANIMALS RUNNING AT LARGE.
   (a)   No person, who is the owner or keeper of horses, mules, cattle, bison, sheep, goats, swine, llamas, alpacas, or poultry, shall permit them to run at large in the public road, highway, street, lane, or alley, or upon unenclosed land, or cause the animals to be herded, kept, or detained for the purpose of grazing on premises other than those owned or lawfully occupied by the owner or keeper of the animals.
(ORC 951.02)
   (b)   No owner, keeper, or harborer of any female dog shall permit it to go beyond the premises of the owner, keeper, or harborer at any time the dog is in heat unless the dog is properly in leash.
   (c)   Except when a dog is lawfully engaged in hunting and accompanied by the owner, keeper, harborer, or handler of the dog, no owner, keeper, or harborer of any dog shall fail at any time to do either of the following:
      (1)   Keep the dog physically confined or restrained upon the premises of the owner, keeper, or harborer by a leash, tether, adequate fence, supervision, or secure enclosure to prevent escape;
      (2)   Keep the dog under the reasonable control of some person.
   (d)   Whoever recklessly violates division (a) of this section is guilty of a misdemeanor of the fourth degree.
   (e)   (1)   Whoever violates divisions (b) or (c) of this section shall be fined not less than twenty- five dollars ($25.00) or more than one hundred dollars ($100.00) on a first offense; and on each subsequent offense, shall be fined not less than seventy-five dollars ($75.00) or more than two hundred fifty dollars ($250.00) and may be imprisoned for not more than 30 days.
      (2)   In addition to the penalties prescribed in division (e)(1) above, if the offender is guilty of a violation of division (b) or (c) of this section, the court may order the offender to personally supervise the dog that the offender owns, keeps, or harbors, to cause that dog to complete dog obedience training, or to do both.
(ORC 951.99)