This study investigated the relationship of bullying victimization and perpetration with the levels of intelligence, attention, and executive function in children who had received a diagnosis of attention-deficit/hyperactivity disorder (ADHD). The experiences of bullying involvement in 105 children with ADHD were assessed using the Chinese version of the School Bullying Experience Questionnaire. Their scores for four intelligence indexes on the Wechsler Intelligence Scale for Children 4th Edition-Chinese version were determined. Their levels of attention and executive function were assessed using the Comprehensive Nonverbal Attention Test Battery. The results of logistic regression analyses indicated that a high Perceptual Reasoning Index was significantly associated with a decreased risk of being victims of bullying. A high level of executive function was significantly associated with a decreased risk of being victims and perpetrators of bullying. Bullying victimization and perpetration in children with ADHD having a low PRI and low executive function should be routinely surveyed.