Based on the analysis of regulatory acts and scientific views, the article reveals the concept and types of methods for resolving administrative disputes in the course of state control (supervision). It highlights the judicial, pre-trial (administrative), and extrajudicial regimes for appealing against decisions, acts, and actions (inaction) of control (supervisory) bodies and their officials by the persons under control. The article also addresses certain issues related to improving the administrative procedure for resolving complaints.