The incident happened at about 10:30 p.m. at a home in the 10100-block of West California Avenue in Beach Park.
Officers responded to calls of a man threatening others with a knife. The suspect was identified as Ricardo Carcamo-Ortega, 28.
Carcamo-Ortega became violent when his family tried to stop him from driving while intoxicated, according to deputies.
During the argument, he pulled out a box cutter and cut one his family member's arm. The victim was not seriously injured.
Carcamo-Ortega also allegedly damaged a vehicle's tires and chased other family members with the weapon.
When deputies arrived, they found, Carcamo-Ortega outside of the house.
Carcamo-Ortega then ran from deputies, into the basement of the house.
Deputies allegedly found the 28-year-old holding a small child.
The child was quickly rescued, and the man was arrested.
He has been charged with aggravated battery with a deadly weapon; two counts of domestic battery and criminal damage to property.