 Lützow was born on 4 September 1912 in Kiel, at the time the capital of the Province of Schleswig-Holstein, a province of the Kingdom of Prussia.He was the third of five children of Friedrich Lützow, a naval officer, and his wife Hildegard, née Kinzel.He had an older brother, Werner, an older sister, Liselotte (Elisabeth Charlotte), a younger sister, Hildegard, and a younger brother, Joachim.