The purpose of the study is to determine the main contemporary development trends in administrative-legal relations in the field of administrative justice. In order to examine theoretical and practical issues of modern administrative justice, normative legal acts identifying the relations in the system of administrative justice in the Republic in Kazakhstan have been reviewed. The analysis of international experience showed that administrative justice was not a punitive, but an advocacy institution. Furthermore, in examining the essence of the judiciary as a constitutional category, the authors consider its components: administration of justice, judicial control, interpretation of the active legislation on the basis of case studies and case law analysis, and formation of the judiciary. The submissions may be useful for historians, lawyers and legislators as a basis of investigations on reforming the administrative law of the Republic of Kazakhstan and formation of new administrative institutions for successful implementation of judicial reform.