The paper deals with relations between a non-linguistic concept of a norm formulated by K. Opałko and J. Woleński and the issues o f interpretation of the law. An attempt has been made to answer the question how the non-linguistic concept of a norm may be modified to make it compatible with the accomplishments of the contemporary reflection on the interpretation of the law on the one hand, and have it retain its fundamental theses on the other. The main result of such modifications would be an assumption that a norm is a certain (specific) type a conventional state of affairs. These deliberations have resulted in a proposed thesis that a properly modified non-linguistic concept of a norm may be compatible with the integrated concept ...