We examined whether being raised by an alcoholic parent increases risk of offspring behavioral problems. Using data from two ongoing studies of children of twins, we compared internalizing and externalizing behaviors of offspring, with genetic and environmental risks inferred from parent and co-twin history of alcohol use disorder (AUD). Consistent with previous research, results provide little evidence of environmental transmission of risk from parental alcoholism for internalizing, externalizing, or a measure of total problem behavior. In contrast, there was strong support for genetic transmission for externalizing and total problem behavior. Findings regarding genetic risks for internalizing behavior were inconclusive.