The aim was to study the association between paternal mental health and physically aggressive behavior in children. This study is based on 19,580 father-child dyads from the Norwegian Mother and Child Cohort Study (MoBa). Fathers' mental health was assessed by self-report (Symptom Checklist-5, SCL-5) in week 17 or 18 of gestation. Children's behavior (hitting others) was obtained by mothers' reports. A multinomial logistic regression model was performed. Expectant fathers' high level of psychological distress was found to be a significant risk factor only for girls hitting, adjusted OR = 1.46 (1.01-2.12), p = 0.043, but not for boys. High levels of mental distress in fathers predict their daughters' hitting at 5 years of age.