A decision by the Los Angeles prosecutors could take several months.
Gibson, 54, was recorded threatening then-girlfriend Oksana Grigorieva, 40, telling her she "deserved it" when she accused him of punching her twice in the face while she held their now 10-month-old daughter Lucia.
Grigorieva also claims he struck the baby. Photos allegedly showing Grigorieva's bruised face and damaged teeth leaked on the web.
Gibson sources say the actor merely tried to stop Grigorieva from shaking their child "like a ragdoll" and that he never harmed Lucia.
Investigators continue to look into allegations Grigorieva tried to extort Gibson with the taped phone conversations.