陸軍局
After passing his Abitur in 1961, he joined the Bundeswehr as an officer cadet in a Panzergrenadier battalion. Stöckmann attended his General Staff Training Course at the Führungsakademie der Bundeswehr in 1972 - 1974 and served at the General Army Office. In 1976 - 1978 he attended the General Staff Training Course at the Royal Dutch Military Academy in The Hague, the Netherlands.