Canadian model Gabriel Aubry, 37, was later released on $20,000 bail after being charged with misdemeanor battery following the punch-up with Berry's fiancé, French actor Olivier Martinez, 46, in the driveway of her house on Thursday.
The altercation occurred during a custodial hand-off involving Berry's 4-year-old daughter with Aubry, Nahla, according to Los Angeles police officer Julie Boyer.
Following the scuffle, Aubry and Martinez were both taken to Cedars-Sinai Medical Center with "non-life-threatening injuries," Boyer said. Aubry is due to appear in court on December 13.
Berry, 46, who won a best actress Oscar for her role in 2001 film "Monster's Ball," has been embroiled in a bitter custody battle with Aubry since they broke up in April 2010. Earlier this month, a judge denied Berry's request to move to France with Nahla.
Berry and Martinez met while filming the movie "Dark Tide." They announced their engagement in March.
A judge has since issued an emergency protective order requiring Aubry to stay at least 100 yards (meters) from Berry, their daughter and Martinez, according to celebrity website, TMZ.com.