Kaupisch entered the army in 1898; from 1907 to 1909 he attended the war academy in Lichterfelde. From 1911 he served with the German General Staff in Berlin. During World War I, Kaupisch served on the General Staff and rose gradually in the ranks and in 1917 promoted to Major. He also received the Iron Cross 2nd Class and the Knight's Cross of House Order of Hohenzollern in the same period. After World War I, Kaupisch moved into the new Reichswehr and was assigned to the Gruppenkommando 2 at Kassel. In 1923 he took command of an artillery regiment. From there he moved to artillery school in Jüterbog. He continued his career in artillery until he departed in 1932 from his post with the level of Generalleutnant. On 1 April 1934, he joined the Luftwaffe where in December 1935 he was appointed General der Flieger. By the end of March 1938 he departed from the Luftwaffe, but in early 1939 he again joined the army.
World War II
In mid-September 1939, Kaupisch was military governor of Danzig-West Prussia. In late 1939, his staff was adopted to Höheres Kommando z.b.V. XXXI. It was as head of this command that he April 9, 1940 led Operation Weserübung Süd, forcing the occupation of Denmark. The OPROP! leaflets with a call to refrain from resistance which German planes dropped during the early morning were signed by Kaupisch. Until 1 June 1940, he was Supreme Commander of the German troops in Denmark. He then continued in the army reserve as general of artillery until his retirement on April 10, 1942.
Post war
Anticipating the imminent defeat of Germany, Kaupisch and his family left their home in Westend, Berlin and settled in Bad Berka, a spa town lying approximately 10 km south of Weimar. In May 1945, the city was captured by the US Army. That summer, he was also interviewed by a Danish journalist who noted that the retired General had adapted to the peacetime lifestyle. When the region of Weimar became part of the Soviet zone of occupation, Kaupisch was arrested and marched to an internment camp at Weimar. Kaupisch died there on 26 September 1945.