The main peculiarities and difficulties in teaching children with Attention Deficit Hyperactivity Disorder are considered. Positive qualities and creative abilities of mentally preserved and gifted children with ADHD are named. Advice in teaching children with double exception is given. The purpose of the article is to analyze the problem of children with Attention Deficit Hyperactivity Disorder including those, who have preserved intellect and ADHD and factors of their effective inclusion in the educational process. Attention Deficit Hyperactivity Disorder is a polymorphic clinical syndrome, the main manifestation of which is a violation of the child's ability to control and regulate his behavior, which is manifested by motor hyperactivity, impaired attention and impulsivity. According to the International Classification of Diseases - ICD- 11 and classification of the American Association of Psychiatrists DSM-5, ADHD is the most common mental development disorder in children and adolescents up to 9%, is at the beginning of the classification and refers to disorders of neurodevelopment. Children with ADHD are very different. In general, the level of intellectual development is not a differential trait for Attention Deficit Hyperactivity Disorder. Often there are children with normal intelligence, or even gifted with signs of disorder. These are children with the so-called "double exclusive". Therefore, the problem of children with behavioral disorders, disorders of neurodevelopment – Attention Deficit Hyperactivity Disorder in the educational process is extremely common and urgent. These are children who are often not covered by mainstream support in an inclusive educational environment, especially in Ukraine they are in the “grey zone” The factors of successful inclusion of children with normal level of intelligence or even gifted in the educational process are compulsory multidisciplinary study and functional and behavioral assessment of the child, application of behavioral correction techniques within the program of behavioral interventions, adaptation of the curriculum, constant collaboration with pedagogical staff. Also, we should remember that this process should start as early as it possible, that gives more effective results.