The current study investigated the parent–child relationship by examining associations between parent stress, parental discipline strategies, child disruptive behavior problems, and level of autism spectrum disorder (ASD) symptoms. A sample of 130 parents of children with ASD ages 3 to 11 years participated. Parents reported high levels of parent stress and high levels of child disruptive behavior problems. A series of mediation analyses via bootstrapping were used to examine the development of child disruptive behavior. Use of harsh and punitive parental discipline strategies mediated the link between parent stress and child disruptive behavior problems. These findings suggest that parental discipline strategies should be a central target in prevention and treatment interventions for children with ASD to reduce the emergence of child disruptive behavior problems. Reducing challenging behavior in children with ASD may improve the rate of skill acquisition and improve the parent–child relationship. Future directions for research along with clinical implications for families are discussed.