Demarcus Jeshaun Studyent, 23 of Rome, and Sienna Janie Murray, 21 of Calhoun, were both arrested at a home on Green and Gold Blvd after reports said they got into a physical altercation in front of two children.
Police said that both suspects hit the other in the mouth with their hands.
Children aged 3 years and 14 months witnessed the attack.
Both are charged with simple battery and cruelty to children in the third degree.