The article presents the results of the author’s work on the theory of constitutional conflictology - a new section of the science of constitutional law. The subject of this theory is constitutional conflict as a special type of legal conflict, the key method of its study is constitutional conflict diagnostics. Also, within the framework of constitutional conflictology, methods of resolving constitutional conflicts are studied and can be divided into two main groups. The system of constitutional conflict resolution at the initial stage of formation is represented by five elements: the theory of constitutional conflict; constitutional conflict diagnostics; ways of preventing and resolving constitutional conflicts; constitutional and municipal norms of the conflictological type; certain types of constitutional conflicts and methods of their resolution.