Brownsville police arrested the father after being called out to the family's home Sunday night.
According to investigators officers were called out to the 2100 block of E. Harrison on reports of family violence.
When they arrived, they found 38-year-old Luciano Lerma Jr drunk inside the home.
According Lerma's wife, the two had a disagreement earlier in the day and Lerma left.
Police say he returned later that evening and continued arguing with her.
She told police when the fight escalated, their children ages 12-years-old and 9-years-old, tried to calm him down, but instead he shoved them out of the way causing minor injuries.
Both children were treated at the scene by EMS.
Lerma was arrested and charged with two counts of injury to a child and assault class "C" family violence.
Bond was set at $10,000.