Dads get FREE admission on Father’s Day June 5, 2013 Celebrate this Father’s Day at the Zoo! Bring the family to Cincinnati Zoo on Sunday, June 16. Dads get FREE admission and animal encounters will be happening throughout the Zoo, courtesy of Cincinnati-Northern Kentucky Honda Dealers. Catch the Cheetah Encounter and Bird Shows while you’re here. Click here for the full schedule of encounters > Happy Father’s Day from the Zoo!