Glišić graduated at Military Academy in Belgrade in 1933 and since 1940 worked in General Staff. On 27 March 1941 he was one of pro-Western Serb military officers who conducted coup d'état and annulled Yugoslav military alliance with Axis powers. After Axis invasion of Yugoslavia he joined Chetniks of Dragoslav Mihailović and participated in the uprising against German occupying forces. In October 1941, one of his actions against German troops in which he participated together with Partisans resulted in German reprisals known as Kragujevac massacre. At the end of 1941 he became a commander of the Požega Chetnik Detachment.