This paper identifies the competencies of specialists working with children with Autism Spectrum Disorder (ASD) using a modular competence approach in the continuing education system. The study provided additional training to specialists in Tatarstan and conducted an online survey of 104 participants who had completed advanced training. The survey identified an uneven formation of competencies among specialists, with teachers and educators less prepared to interact with children with ASD than speech therapists and psychologists. Inadequacies were found in all groups, especially in diagnosis and technology applications. A model of additional education was developed for specialists in the integrated support system for children with ASD that needs to be expanded to include teachers and educators involved in inclusive education.