The article reveals the essence of the science of executive process as one of the branches of general science of law, which is a theoretical views, opinions, ideas, theories, concepts, concepts in the field of executive procedural relations, based on Ukrainian legislation, international law, achievements other countries in this field, which studies the patterns of origin, history of development and functioning of enforcement proceedings and executive procedural legal relations, their essence, place in the legal system, the role of social functions and the principles of their regu-lation and analyzes them makes development forecasts and proposals for the implementation of scientific forecasts to the legislation on enforcement proceedings and examines the organizational issues of such activities. With regard to the procedural part, the following components should be distinguished in the theory of enforcement proceedings:
 1. Enforcement acts as a basis for enforcement proceedings2. Subjects of enforcement proceedings, which in turn are divided into persons:– who enforce decisions;– participants in enforcement proceedings (parties to enforcement proceedings; other interested parties; representatives in enforcement proceedings);– involved in enforcement actions;– persons on the rights that may be affected by the ongoing enforcement proceedings3. General conditions for enforcement proceedings;4. General rules of enforcement proceedings;5. Special rules for enforcement proceedings.6. Transnational enforcement process.The subject and object of science are revealed. Significant attention is paid to the conceptual apparatus, in particular, such concepts as enforcement proceedings, enforcement proceedings, debtor, debt collector, voluntary, enforcement of decisions, etc. are formulated. The essence of the method of legal regulation of public relations in enforcement proceedings as a «method of sanctioned coercion» due to the specifics of the activities of executors in the enforcement of court decisions and decisions of other bodies (officials).