Different questions of more properly, so less properly investigated events of the Kursk battle are discussed in the article on the basis of diverse historiographic material. However, considerable attention is paid to the controversial aspects of the topic. The author proves his own approaches to the consideration of the most controversial and virtually undiscovered aspects of the battle, offers the directions of their further research. Particular attention is paid to the identification and analysis of actual combat potential of opposing forces military groups in the period of the battle, reasoned and mistaken, strategic and  tactical decisions of  Soviet and Germanic command on the eve and  directly in the period of the battle, particularly, the actual failure of the plans of the German command in operation “Citadel” realizing and trap and defeat of all impactive German group by planned Soviet command, on the second stage of the battle,  reasons of Soviet counteroffensive actions failures on July 8 and in particular July 12 on the Voronezh Front.