Los Angeles police said the 27-year-old was arrested after a reported domestic disturbance at Paul Hogan's Venice Beach home, with bail set at $20,000.
Officers were called on Friday morning, but Chance Hogan had allegedly left before they arrived and was later located and taken into custody.
Police withheld further details under domestic battery confidentiality rules, and reports said the incident has added strain for 86-year-old actor Paul Hogan amid his son's mental health struggles.
Where is the line between parental support and enabling when a celebrity's adult child is in crisis?
How should the justice system handle domestic violence when the accused has a documented mental health crisis?
Does the pressure of fame prevent the children of celebrities from effectively managing their mental health?